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	10780a	Isogeny class
Conductor	10780	Conductor
∏ cp	9	Product of Tamagawa factors cp
deg	102960	Modular degree for the optimal curve
Δ	-302096446093750000 = -1 · 24 · 511 · 74 · 115	Discriminant
Eigenvalues	2-  2 5+ 7+ 11+ -1  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-355266,85805105]	[a1,a2,a3,a4,a6]
j	-129084391106508544/7863818359375	j-invariant
L	2.7213315582491	L(r)(E,1)/r!
Ω	0.30237017313879	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	43120bb1 97020cf1 53900d1 10780m1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 10780a1

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	+	+	+	-1	2	0	6	-2	-3	8	0	1	8	-6	-3	2	-8	3	9	4	9	-7	10

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Quadratic twists for elliptic curve 10780a1

-4	-3	5	-7	-11
43120bb1	97020cf1	53900d1	10780m1	118580b1

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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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