Cremona's table of elliptic curves

236 = 2² · 59

Field	Data	Notes
Atkin-Lehner	2- 59+	Signs for the Atkin-Lehner involutions
Class	236b	Isogeny class
Conductor	236	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-3286064 = -1 · 24 · 593	Discriminant
Eigenvalues	2-  1  3 -1  6 -4 -6  5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,31,68]	[a1,a2,a3,a4,a6]
j	199344128/205379	j-invariant
L	1.6613345298042	L(r)(E,1)/r!
Ω	1.6613345298042	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	944j2 3776h2 2124c2 5900a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 236b2

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	-1	6	-4	-6	5	0	9	-4	-4	-9	8	-12	-9	+	2	2	0	14	-7	0	-6	2

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Quadratic twists for elliptic curve 236b2

-4	8	-3	5	-7	-11	13	17	-19	-23	-59
944j2	3776h2	2124c2	5900a2	11564f2	28556b2	39884b2	68204a2	85196d2	124844b2	13924a2

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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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