Cremona's table of elliptic curves

910 = 2 · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 5+ 7- 13-	Signs for the Atkin-Lehner involutions
Class	910j	Isogeny class
Conductor	910	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	9025573730468750 = 2 · 518 · 7 · 132	Discriminant
Eigenvalues	2- -2 5+ 7-  0 13-  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-529046,-148084874]	[a1,a2,a3,a4,a6]
j	16375858190544687071329/9025573730468750	j-invariant
L	1.5932468473448	L(r)(E,1)/r!
Ω	0.17702742748275	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7280o6 29120w6 8190x6 4550c6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 910j6

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	+	-	0	-	0	2	6	6	-4	2	0	8	0	12	6	-10	-4	6	2	8	12	0	-10

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Quadratic twists for elliptic curve 910j6

-4	8	-3	5	-7	-11	13
7280o6	29120w6	8190x6	4550c6	6370v6	110110i6	11830i6

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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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