Cremona's table of elliptic curves

12760 = 2³ · 5 · 11 · 29

Field	Data	Notes
Atkin-Lehner	2- 5- 11+ 29-	Signs for the Atkin-Lehner involutions
Class	12760i	Isogeny class
Conductor	12760	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	5376	Modular degree for the optimal curve
Δ	6846480080 = 24 · 5 · 112 · 294	Discriminant
Eigenvalues	2-  0 5-  0 11+ -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-482,861]	[a1,a2,a3,a4,a6]
j	774006921216/427905005	j-invariant
L	1.1544813979352	L(r)(E,1)/r!
Ω	1.1544813979352	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	25520h1 102080d1 114840i1 63800c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 12760i1

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	-	0	+	-2	-2	-4	-8	-	0	2	10	-8	4	-10	12	-2	4	-8	14	0	-12	18	-2

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Quadratic twists for elliptic curve 12760i1

-4	8	-3	5
25520h1	102080d1	114840i1	63800c1

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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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