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	154b	Isogeny class
Conductor	154	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	24	Modular degree for the optimal curve
Δ	-3469312 = -1 · 212 · 7 · 112	Discriminant
Eigenvalues	2-  0  2 7+ 11+  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-4,-89]	[a1,a2,a3,a4,a6]
j	-5545233/3469312	j-invariant
L	1.6895880356151	L(r)(E,1)/r!
Ω	1.1263920237434	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1232j1 4928h1 1386c1 3850f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 154b1

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	2	0	-8	-2	-8	-2	10	4	8	6	0	10	-12	16	-14	0	0	-6	10

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Quadratic twists for elliptic curve 154b1

-4	8	-3	5	-7	-11	13	17	-19	-23	29
1232j1	4928h1	1386c1	3850f1	1078i1	1694d1	26026g1	44506x1	55594b1	81466bl1	129514b1

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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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