Cremona's table of elliptic curves

136 = 2³ · 17

Field	Data	Notes
Atkin-Lehner	2- 17-	Signs for the Atkin-Lehner involutions
Class	136a	Isogeny class
Conductor	136	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-295936 = -1 · 210 · 172	Discriminant
Eigenvalues	2- -2 -2 -2 -6  2 17-  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,16,16]	[a1,a2,a3,a4,a6]
Generators	[0:4:1]	Generators of the group modulo torsion
j	415292/289	j-invariant
L	0.89989598753536	L(r)(E,1)/r!
Ω	1.9435527399048	Real period
R	0.46301598565288	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	272c2 1088f2 1224b2 3400c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 136a2

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

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Quadratic twists for elliptic curve 136a2

-4	8	-3	5	-7	-11	13	17	-19	-23	29
272c2	1088f2	1224b2	3400c2	6664d2	16456e2	22984e2	2312c2	49096d2	71944d2	114376b2

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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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