Cremona's table of elliptic curves

936 = 2³ · 3² · 13

Field	Data	Notes
Atkin-Lehner	2+ 3+ 13+	Signs for the Atkin-Lehner involutions
Class	936a	Isogeny class
Conductor	936	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	4672512 = 210 · 33 · 132	Discriminant
Eigenvalues	2+ 3+ -2  2 -4 13+  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-51,94]	[a1,a2,a3,a4,a6]
Generators	[-1:12:1]	Generators of the group modulo torsion
j	530604/169	j-invariant
L	2.2673570478237	L(r)(E,1)/r!
Ω	2.2570695652273	Real period
R	0.50227894672696	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	1872b2 7488e2 936f2 23400bc2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 936a2

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	+	0	-2	-4	0	2	-10	-2	8	0	-12	-12	-6	-6	8	-2	12	4	-14	-10

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Quadratic twists for elliptic curve 936a2

-4	8	-3	5	-7	-11	13
1872b2	7488e2	936f2	23400bc2	45864e2	113256bh2	12168l2

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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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