Cremona's table of elliptic curves

6336 = 2⁶ · 3² · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 11+	Signs for the Atkin-Lehner involutions
Class	6336cc	Isogeny class
Conductor	6336	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	6144	Modular degree for the optimal curve
Δ	56757583872 = 218 · 39 · 11	Discriminant
Eigenvalues	2- 3- -2 -4 11+  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-3756,-87856]	[a1,a2,a3,a4,a6]
Generators	[-35:27:1]	Generators of the group modulo torsion
j	30664297/297	j-invariant
L	3.0301318051668	L(r)(E,1)/r!
Ω	0.61019985892539	Real period
R	1.241450551342	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	6336bd1 1584q1 2112v1 69696gp1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 6336cc1

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

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Quadratic twists for elliptic curve 6336cc1

-4	8	-3	-11
6336bd1	1584q1	2112v1	69696gp1

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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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