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	936h	Isogeny class
Conductor	936	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	128	Modular degree for the optimal curve
Δ	1364688 = 24 · 38 · 13	Discriminant
Eigenvalues	2- 3-  0 -4  2 13+  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-30,29]	[a1,a2,a3,a4,a6]
Generators	[-2:9:1]	Generators of the group modulo torsion
j	256000/117	j-invariant
L	2.2877842319428	L(r)(E,1)/r!
Ω	2.4247872635876	Real period
R	0.47174947392248	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	1872d1 7488w1 312b1 23400t1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 936h1

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

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Quadratic twists for elliptic curve 936h1

-4	8	-3	5	-7	-11	13
1872d1	7488w1	312b1	23400t1	45864bm1	113256w1	12168c1

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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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