Cremona's table of elliptic curves

116 = 2² · 29

Field	Data	Notes
Atkin-Lehner	2- 29+	Signs for the Atkin-Lehner involutions
Class	116c	Isogeny class
Conductor	116	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	464 = 24 · 29	Discriminant
Eigenvalues	2-  2 -2  4 -6  2  2 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-9,14]	[a1,a2,a3,a4,a6]
j	5619712/29	j-invariant
L	1.3231190989854	L(r)(E,1)/r!
Ω	5.2924763959418	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	464e2 1856e1 1044h1 2900c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 116c2

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

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Quadratic twists for elliptic curve 116c2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
464e2	1856e1	1044h1	2900c1	5684g1	14036e1	19604b1	33524e1	41876d1	61364b1	3364b1	111476f1

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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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