Cremona's table of elliptic curves

252 = 2² · 3² · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 7-	Signs for the Atkin-Lehner involutions
Class	252a	Isogeny class
Conductor	252	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	952342272 = 28 · 312 · 7	Discriminant
Eigenvalues	2- 3-  0 7-  6  2  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-255,502]	[a1,a2,a3,a4,a6]
j	9826000/5103	j-invariant
L	1.3797968090362	L(r)(E,1)/r!
Ω	1.3797968090362	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1008j2 4032n2 84a2 6300j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 252a2

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

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Quadratic twists for elliptic curve 252a2

-4	8	-3	5	-7	-11	13	17	-19
1008j2	4032n2	84a2	6300j2	1764f2	30492n2	42588e2	72828l2	90972i2

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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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