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	11480g	Isogeny class
Conductor	11480	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	5312	Modular degree for the optimal curve
Δ	-15061760 = -1 · 28 · 5 · 7 · 412	Discriminant
Eigenvalues	2- -3 5- 7+ -3 -5 -7  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-52,-236]	[a1,a2,a3,a4,a6]
Generators	[20:82:1]	Generators of the group modulo torsion
j	-60742656/58835	j-invariant
L	2.237894742126	L(r)(E,1)/r!
Ω	0.85521655050865	Real period
R	0.65418949761759	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	22960g1 91840c1 103320g1 57400g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11480g1

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
-	-3	-	+	-3	-5	-7	2	6	-7	4	2	+	12	-7	12	0	2	10	8	-10	3	0	10	-15

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Quadratic twists for elliptic curve 11480g1

-4	8	-3	5	-7
22960g1	91840c1	103320g1	57400g1	80360q1

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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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