Cremona's table of elliptic curves

154 = 2 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 7+ 11+	Signs for the Atkin-Lehner involutions
Class	154a	Isogeny class
Conductor	154	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	4312 = 23 · 72 · 11	Discriminant
Eigenvalues	2+  0 -4 7+ 11+  2 -4 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-469,4029]	[a1,a2,a3,a4,a6]
Generators	[11:5:1]	Generators of the group modulo torsion
j	11422548526761/4312	j-invariant
L	0.8716922253566	L(r)(E,1)/r!
Ω	3.5423530688656	Real period
R	0.49215434396874	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	1232k2 4928i2 1386k2 3850r2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 154a2

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

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Quadratic twists for elliptic curve 154a2

-4	8	-3	5	-7	-11	13	17	-19	-23	29
1232k2	4928i2	1386k2	3850r2	1078c2	1694g2	26026r2	44506n2	55594f2	81466s2	129514j2

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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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