Cremona's table of elliptic curves

354 = 2 · 3 · 59

Field	Data	Notes
Atkin-Lehner	2- 3+ 59+	Signs for the Atkin-Lehner involutions
Class	354a	Isogeny class
Conductor	354	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	16	Modular degree for the optimal curve
Δ	708 = 22 · 3 · 59	Discriminant
Eigenvalues	2- 3+  0  0  4  4  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-3,-3]	[a1,a2,a3,a4,a6]
j	3048625/708	j-invariant
L	1.8409783331201	L(r)(E,1)/r!
Ω	3.6819566662402	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	2832d1 11328f1 1062c1 8850g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 354a1

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

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Quadratic twists for elliptic curve 354a1

-4	8	-3	5	-7	-11	13	17	-19	-59
2832d1	11328f1	1062c1	8850g1	17346ba1	42834d1	59826c1	102306q1	127794w1	20886a1

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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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