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	3910k	Isogeny class
Conductor	3910	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	864	Modular degree for the optimal curve
Δ	-22599800 = -1 · 23 · 52 · 173 · 23	Discriminant
Eigenvalues	2-  1 5+ -1  0 -4 17-  5	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,69,-55]	[a1,a2,a3,a4,a6]
Generators	[28:141:1]	Generators of the group modulo torsion
j	36297569231/22599800	j-invariant
L	5.466421777814	L(r)(E,1)/r!
Ω	1.2346209552278	Real period
R	2.2138056845169	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	31280r1 125120be1 35190t1 19550e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3910k1

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
-	1	+	-1	0	-4	-	5	+	-6	2	-4	-12	8	3	-9	0	-10	-1	6	-16	-1	-12	0	-1

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Quadratic twists for elliptic curve 3910k1

-4	8	-3	5	17	-23
31280r1	125120be1	35190t1	19550e1	66470w1	89930be1

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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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