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	3910f	Isogeny class
Conductor	3910	Conductor
∏ cp	3	Product of Tamagawa factors cp
Δ	-1895808630784000 = -1 · 227 · 53 · 173 · 23	Discriminant
Eigenvalues	2+ -2 5-  2 -6 -1 17+  5	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-589308,-174186694]	[a1,a2,a3,a4,a6]
Generators	[8310:142211:8]	Generators of the group modulo torsion
j	-22633392930067758529081/1895808630784000	j-invariant
L	1.9680927225733	L(r)(E,1)/r!
Ω	0.086155276504238	Real period
R	7.6145180439663	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	31280u2 125120n2 35190bl2 19550bg2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3910f2

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
+	-2	-	2	-6	-1	+	5	-	9	-4	-7	0	2	6	-6	-6	-10	2	-6	11	17	6	-12	14

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Quadratic twists for elliptic curve 3910f2

-4	8	-3	5	17	-23
31280u2	125120n2	35190bl2	19550bg2	66470a2	89930j2

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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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