Cremona's table of elliptic curves

11515 = 5 · 7² · 47

Field	Data	Notes
Atkin-Lehner	5- 7- 47+	Signs for the Atkin-Lehner involutions
Class	11515h	Isogeny class
Conductor	11515	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-63672227045 = -1 · 5 · 78 · 472	Discriminant
Eigenvalues	1  0 5- 7-  6 -2  4 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,971,3198]	[a1,a2,a3,a4,a6]
Generators	[11636:153089:64]	Generators of the group modulo torsion
j	860085351/541205	j-invariant
L	5.7436618032331	L(r)(E,1)/r!
Ω	0.68558574906718	Real period
R	4.1888719325395	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	103635y2 57575k2 1645a2	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 11515h2

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
1	0	-	-	6	-2	4	-4	-4	6	-4	6	-10	-8	+	2	-6	2	8	12	-2	-4	0	-6	-12

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Quadratic twists for elliptic curve 11515h2

-3	5	-7
103635y2	57575k2	1645a2

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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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