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	11480c	Isogeny class
Conductor	11480	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-41329469440 = -1 · 211 · 5 · 74 · 412	Discriminant
Eigenvalues	2+  2 5+ 7-  0 -6  4  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-456,-10324]	[a1,a2,a3,a4,a6]
Generators	[1551:10448:27]	Generators of the group modulo torsion
j	-5131452818/20180405	j-invariant
L	6.1188311048849	L(r)(E,1)/r!
Ω	0.47166250039879	Real period
R	6.4864506927215	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	22960a2 91840w2 103320bm2 57400p2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11480c2

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	+	-	0	-6	4	4	0	-4	4	-10	-	0	4	-10	-4	-2	2	6	-2	-6	-4	-18	8

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Quadratic twists for elliptic curve 11480c2

-4	8	-3	5	-7
22960a2	91840w2	103320bm2	57400p2	80360h2

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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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