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	154c	Isogeny class
Conductor	154	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	16	Modular degree for the optimal curve
Δ	-13552 = -1 · 24 · 7 · 112	Discriminant
Eigenvalues	2+  2  2 7+ 11- -4  0  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-14,-28]	[a1,a2,a3,a4,a6]
j	-338608873/13552	j-invariant
L	1.2199842862813	L(r)(E,1)/r!
Ω	1.2199842862813	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	1232h1 4928f1 1386h1 3850v1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 154c1

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

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Quadratic twists for elliptic curve 154c1

-4	8	-3	5	-7	-11	13	17	-19	-23	29
1232h1	4928f1	1386h1	3850v1	1078f1	1694i1	26026o1	44506i1	55594i1	81466q1	129514i1

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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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