Cremona's table of elliptic curves

6936 = 2³ · 3 · 17²

Field	Data	Notes
Atkin-Lehner	2- 3- 17+	Signs for the Atkin-Lehner involutions
Class	6936m	Isogeny class
Conductor	6936	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	444903671808 = 211 · 32 · 176	Discriminant
Eigenvalues	2- 3-  2  0 -4 -2 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-111072,-14285088]	[a1,a2,a3,a4,a6]
Generators	[7247380:200702697:8000]	Generators of the group modulo torsion
j	3065617154/9	j-invariant
L	5.3140607516736	L(r)(E,1)/r!
Ω	0.26151593523348	Real period
R	10.160108880037	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	13872b5 55488k6 20808l5 24a5	Quadratic twists by: -4 8 -3 17

Hecke Eigenvalues for elliptic curve 6936m5

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

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Quadratic twists for elliptic curve 6936m5

-4	8	-3	17
13872b5	55488k6	20808l5	24a5

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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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