Cremona's table of elliptic curves

156 = 2² · 3 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 13-	Signs for the Atkin-Lehner involutions
Class	156b	Isogeny class
Conductor	156	Conductor
∏ cp	18	Product of Tamagawa factors cp
Δ	1168128 = 28 · 33 · 132	Discriminant
Eigenvalues	2- 3-  0  2  0 13- -6  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-148,644]	[a1,a2,a3,a4,a6]
j	1409938000/4563	j-invariant
L	1.3761495936397	L(r)(E,1)/r!
Ω	2.7522991872794	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	624g2 2496a2 468d2 3900c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 156b2

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 156b2

-4	8	-3	5	-7	-11	13	17	-19	-23
624g2	2496a2	468d2	3900c2	7644a2	18876h2	2028d2	45084g2	56316d2	82524j2

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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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