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	116032l	Isogeny class
Conductor	116032	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	1880064	Modular degree for the optimal curve
Δ	299012572214272 = 210 · 78 · 373	Discriminant
Eigenvalues	2+  0 -4 7-  4 -4  0  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-3308872,2316690600]	[a1,a2,a3,a4,a6]
Generators	[1066:888:1]	Generators of the group modulo torsion
j	33256413948450816/2481997	j-invariant
L	3.9260059093399	L(r)(E,1)/r!
Ω	0.4154314530328	Real period
R	1.5750717036755	Regulator
r	1	Rank of the group of rational points
S	0.99999998736813	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	116032bi1 14504h1 16576d1	Quadratic twists by: -4 8 -7

Hecke Eigenvalues for elliptic curve 116032l1

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
+	0	-4	-	4	-4	0	2	0	6	-2	-	-2	-8	-4	6	6	0	4	-8	-10	-8	-16	0	12

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Quadratic twists for elliptic curve 116032l1

-4	8	-7
116032bi1	14504h1	16576d1

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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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