Cremona's table of elliptic curves

113526 = 2 · 3² · 7 · 17 · 53

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 17+ 53+	Signs for the Atkin-Lehner involutions
Class	113526w	Isogeny class
Conductor	113526	Conductor
∏ cp	144	Product of Tamagawa factors cp
deg	2543616	Modular degree for the optimal curve
Δ	325980573290201088 = 218 · 312 · 72 · 17 · 532	Discriminant
Eigenvalues	2- 3-  2 7+  6  6 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-195269,18715965]	[a1,a2,a3,a4,a6]
Generators	[-465:3200:1]	Generators of the group modulo torsion
j	1129520208228329737/447161280233472	j-invariant
L	14.376200506659	L(r)(E,1)/r!
Ω	0.27717108844787	Real period
R	1.4407668027426	Regulator
r	1	Rank of the group of rational points
S	1.0000000001178	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	37842c1	Quadratic twists by: -3

Hecke Eigenvalues for elliptic curve 113526w1

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	+	6	6	+	-4	-2	-8	-10	8	0	-8	8	+	-12	-14	4	-6	-4	-14	-4	-6	18

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Quadratic twists for elliptic curve 113526w1

-3
37842c1

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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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