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	4	Product of Tamagawa factors cp
deg	64	Modular degree for the optimal curve
Δ	-89856 = -1 · 28 · 33 · 13	Discriminant
Eigenvalues	2+ 3+ -2  2 -4 13+  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,9,10]	[a1,a2,a3,a4,a6]
Generators	[2:6:1]	Generators of the group modulo torsion
j	11664/13	j-invariant
L	2.2673570478237	L(r)(E,1)/r!
Ω	2.2570695652273	Real period
R	1.0045578934539	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	1872b1 7488e1 936f1 23400bc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 936a1

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 936a1

-4	8	-3	5	-7	-11	13
1872b1	7488e1	936f1	23400bc1	45864e1	113256bh1	12168l1

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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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