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	910h	Isogeny class
Conductor	910	Conductor
∏ cp	102	Product of Tamagawa factors cp
deg	816	Modular degree for the optimal curve
Δ	-14611251200 = -1 · 217 · 52 · 73 · 13	Discriminant
Eigenvalues	2- -1 5+ 7- -5 13+  2 -6	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-196,5829]	[a1,a2,a3,a4,a6]
Generators	[9:65:1]	Generators of the group modulo torsion
j	-832972004929/14611251200	j-invariant
L	2.7611188148679	L(r)(E,1)/r!
Ω	1.0529878541037	Real period
R	0.025707601656685	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	7280l1 29120bf1 8190w1 4550e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 910h1

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	+	-	-5	+	2	-6	-3	-10	9	-5	1	-10	-9	8	4	5	-3	-8	-5	5	-18	10	5

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Quadratic twists for elliptic curve 910h1

-4	8	-3	5	-7	-11	13
7280l1	29120bf1	8190w1	4550e1	6370z1	110110k1	11830g1

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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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