Cremona's table of elliptic curves

116032 = 2⁶ · 7² · 37

Field	Data	Notes
Atkin-Lehner	2+ 7- 37-	Signs for the Atkin-Lehner involutions
Class	116032p	Isogeny class
Conductor	116032	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	67125592252350464 = 217 · 712 · 37	Discriminant
Eigenvalues	2+  2 -2 7- -4 -6  4  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-287009,57950369]	[a1,a2,a3,a4,a6]
Generators	[2042:8967:8]	Generators of the group modulo torsion
j	169556172914/4353013	j-invariant
L	7.0308954541435	L(r)(E,1)/r!
Ω	0.34690059390838	Real period
R	5.0669381754629	Regulator
r	1	Rank of the group of rational points
S	1.0000000006661	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	116032bu2 14504f2 16576f2	Quadratic twists by: -4 8 -7

Hecke Eigenvalues for elliptic curve 116032p2

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

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Quadratic twists for elliptic curve 116032p2

-4	8	-7
116032bu2	14504f2	16576f2

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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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