Cremona's table of elliptic curves

116 = 2² · 29

Field	Data	Notes
Atkin-Lehner	2- 29+	Signs for the Atkin-Lehner involutions
Class	116b	Isogeny class
Conductor	116	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-6243584 = -1 · 28 · 293	Discriminant
Eigenvalues	2-  1  3 -4  3  5 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,36,-76]	[a1,a2,a3,a4,a6]
j	19600688/24389	j-invariant
L	1.2764922776941	L(r)(E,1)/r!
Ω	1.2764922776941	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	464d2 1856d2 1044j2 2900b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 116b2

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	3	-4	3	5	-6	-4	-6	+	5	8	0	-1	-3	3	6	2	8	6	-16	11	6	-12	8

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Quadratic twists for elliptic curve 116b2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
464d2	1856d2	1044j2	2900b2	5684f2	14036d2	19604a2	33524d2	41876c2	61364a2	3364a2	111476d2

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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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