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	12	Product of Tamagawa factors cp
Δ	2324168 = 23 · 74 · 112	Discriminant
Eigenvalues	2-  0  2 7+ 11+  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-5164,-141529]	[a1,a2,a3,a4,a6]
j	15226621995131793/2324168	j-invariant
L	1.6895880356151	L(r)(E,1)/r!
Ω	0.5631960118717	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	1232j4 4928h3 1386c4 3850f3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 154b3

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 154b3

-4	8	-3	5	-7	-11	13	17	-19	-23	29
1232j4	4928h3	1386c4	3850f3	1078i4	1694d4	26026g4	44506x4	55594b4	81466bl4	129514b4

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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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