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
Δ	-49408483478681600 = -1 · 211 · 52 · 7 · 1310	Discriminant
Eigenvalues	2-  0 5+ 7+ -6 13- -8  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,37782,10304681]	[a1,a2,a3,a4,a6]
Generators	[-119:2087:1]	Generators of the group modulo torsion
j	5964709808210123151/49408483478681600	j-invariant
L	3.0174721365879	L(r)(E,1)/r!
Ω	0.26078796261529	Real period
R	0.21037447129827	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	7280r2 29120m2 8190t2 4550f2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 910f2

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 910f2

-4	8	-3	5	-7	-11	13
7280r2	29120m2	8190t2	4550f2	6370t2	110110p2	11830m2

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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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