Cremona's table of elliptic curves

468 = 2² · 3² · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 13-	Signs for the Atkin-Lehner involutions
Class	468d	Isogeny class
Conductor	468	Conductor
∏ cp	36	Product of Tamagawa factors cp
Δ	230632272 = 24 · 38 · 133	Discriminant
Eigenvalues	2- 3-  0  2  0 13-  6  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-6600,206377]	[a1,a2,a3,a4,a6]
j	2725888000000/19773	j-invariant
L	1.5799514360134	L(r)(E,1)/r!
Ω	1.5799514360134	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	1872p3 7488k3 156b3 11700j3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 468d3

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

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Quadratic twists for elliptic curve 468d3

-4	8	-3	5	-7	-11	13
1872p3	7488k3	156b3	11700j3	22932k3	56628k3	6084f3

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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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