Cremona's table of elliptic curves

3910 = 2 · 5 · 17 · 23

Field	Data	Notes
Atkin-Lehner	2+ 5+ 17- 23-	Signs for the Atkin-Lehner involutions
Class	3910c	Isogeny class
Conductor	3910	Conductor
∏ cp	15	Product of Tamagawa factors cp
deg	30000	Modular degree for the optimal curve
Δ	-1727540011900000 = -1 · 25 · 55 · 175 · 233	Discriminant
Eigenvalues	2+  0 5+ -4  2  3 17-  3	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-298325,62823125]	[a1,a2,a3,a4,a6]
Generators	[313:39:1]	Generators of the group modulo torsion
j	-2936253036372507983529/1727540011900000	j-invariant
L	2.1493421336834	L(r)(E,1)/r!
Ω	0.46641695672401	Real period
R	0.30721326382583	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	31280n1 125120bg1 35190bq1 19550w1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3910c1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	0	+	-4	2	3	-	3	-	-3	0	1	6	0	-10	6	12	-8	10	0	-9	3	-6	-6	-14

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Quadratic twists for elliptic curve 3910c1

-4	8	-3	5	17	-23
31280n1	125120bg1	35190bq1	19550w1	66470h1	89930l1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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