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	3910q	Isogeny class
Conductor	3910	Conductor
∏ cp	55	Product of Tamagawa factors cp
deg	4400	Modular degree for the optimal curve
Δ	-334404720640 = -1 · 211 · 5 · 175 · 23	Discriminant
Eigenvalues	2- -2 5- -2 -2  1 17-  1	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,1330,20740]	[a1,a2,a3,a4,a6]
Generators	[172:2226:1]	Generators of the group modulo torsion
j	260170604658719/334404720640	j-invariant
L	3.7837686207215	L(r)(E,1)/r!
Ω	0.64663295044094	Real period
R	0.1063907941238	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	31280bf1 125120v1 35190h1 19550d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3910q1

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	-2	1	-	1	-	3	-4	-3	8	-10	-2	6	-10	-14	10	-6	-9	-9	2	4	6

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Quadratic twists for elliptic curve 3910q1

-4	8	-3	5	17	-23
31280bf1	125120v1	35190h1	19550d1	66470m1	89930w1

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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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