Cremona's table of elliptic curves

10780 = 2² · 5 · 7² · 11

Field	Data	Notes
Atkin-Lehner	2- 5+ 7- 11+	Signs for the Atkin-Lehner involutions
Class	10780g	Isogeny class
Conductor	10780	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	19886257529600 = 28 · 52 · 710 · 11	Discriminant
Eigenvalues	2- -2 5+ 7- 11+ -4 -8  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-6876,43924]	[a1,a2,a3,a4,a6]
Generators	[-61:490:1]	Generators of the group modulo torsion
j	1193895376/660275	j-invariant
L	2.3508209566105	L(r)(E,1)/r!
Ω	0.59395221321995	Real period
R	1.9789647250122	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	43120bu2 97020da2 53900n2 1540b2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 10780g2

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	+	-	+	-4	-8	4	2	-6	4	10	-2	4	-2	2	0	2	14	-4	16	-8	4	2	2

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Quadratic twists for elliptic curve 10780g2

-4	-3	5	-7	-11
43120bu2	97020da2	53900n2	1540b2	118580o2

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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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