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	6336bp	Isogeny class
Conductor	6336	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	50155641372672 = 220 · 33 · 116	Discriminant
Eigenvalues	2- 3+  0 -2 11- -2  6  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-9420,87952]	[a1,a2,a3,a4,a6]
Generators	[114:704:1]	Generators of the group modulo torsion
j	13060888875/7086244	j-invariant
L	3.854641913944	L(r)(E,1)/r!
Ω	0.55264525025751	Real period
R	0.58124114763614	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	6336b2 1584h2 6336bi4 69696ef2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 6336bp2

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	-2	-	-2	6	2	0	-6	4	-2	-6	-10	12	-12	-12	10	8	12	14	-2	12	0	2

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Quadratic twists for elliptic curve 6336bp2

-4	8	-3	-11
6336b2	1584h2	6336bi4	69696ef2

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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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