Cremona's table of elliptic curves

11480 = 2³ · 5 · 7 · 41

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7+ 41+	Signs for the Atkin-Lehner involutions
Class	11480a	Isogeny class
Conductor	11480	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-516618368000 = -1 · 210 · 53 · 74 · 412	Discriminant
Eigenvalues	2+  0 5+ 7+ -2  4 -4 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,1997,-4002]	[a1,a2,a3,a4,a6]
Generators	[166:2214:1]	Generators of the group modulo torsion
j	860117829084/504510125	j-invariant
L	3.6969365687678	L(r)(E,1)/r!
Ω	0.54570230441792	Real period
R	3.3873199167733	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	22960b2 91840l2 103320bj2 57400r2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11480a2

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

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Quadratic twists for elliptic curve 11480a2

-4	8	-3	5	-7
22960b2	91840l2	103320bj2	57400r2	80360i2

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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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