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	910f	Isogeny class
Conductor	910	Conductor
∏ cp	220	Product of Tamagawa factors cp
deg	5280	Modular degree for the optimal curve
Δ	381542350192640 = 222 · 5 · 72 · 135	Discriminant
Eigenvalues	2-  0 5+ 7+ -6 13- -8  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-33898,2219177]	[a1,a2,a3,a4,a6]
Generators	[-175:1751:1]	Generators of the group modulo torsion
j	4307585705106105969/381542350192640	j-invariant
L	3.0174721365879	L(r)(E,1)/r!
Ω	0.52157592523057	Real period
R	0.10518723564914	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7280r1 29120m1 8190t1 4550f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 910f1

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
-	0	+	+	-6	-	-8	0	0	6	-2	10	-8	-6	8	-12	-8	6	8	4	2	-8	-12	0	-18

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Quadratic twists for elliptic curve 910f1

-4	8	-3	5	-7	-11	13
7280r1	29120m1	8190t1	4550f1	6370t1	110110p1	11830m1

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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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