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	6336bs	Isogeny class
Conductor	6336	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-1567363792896 = -1 · 215 · 33 · 116	Discriminant
Eigenvalues	2- 3+ -2  0 11-  0 -2  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-5196,156240]	[a1,a2,a3,a4,a6]
Generators	[37:121:1]	Generators of the group modulo torsion
j	-17535471192/1771561	j-invariant
L	3.5623961070696	L(r)(E,1)/r!
Ω	0.82498127559906	Real period
R	0.71969231553826	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	6336bl2 3168c2 6336bj2 69696eq2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 6336bs2

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	-	0	-2	6	-6	2	0	2	2	6	-6	2	0	-8	12	6	6	-12	-12	8	6

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Quadratic twists for elliptic curve 6336bs2

-4	8	-3	-11
6336bl2	3168c2	6336bj2	69696eq2

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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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