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	6336q	Isogeny class
Conductor	6336	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	13006946304 = 214 · 38 · 112	Discriminant
Eigenvalues	2+ 3- -2  4 11+ -6 -6  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1596,-23920]	[a1,a2,a3,a4,a6]
j	37642192/1089	j-invariant
L	1.5133500067198	L(r)(E,1)/r!
Ω	0.75667500335989	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	6336ck2 792e2 2112g2 69696cx2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 6336q2

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

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Quadratic twists for elliptic curve 6336q2

-4	8	-3	-11
6336ck2	792e2	2112g2	69696cx2

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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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