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	354d	Isogeny class
Conductor	354	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-654337494 = -1 · 2 · 33 · 594	Discriminant
Eigenvalues	2+ 3+  2  0  4 -6  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,216,270]	[a1,a2,a3,a4,a6]
j	1106469823607/654337494	j-invariant
L	0.98513499143121	L(r)(E,1)/r!
Ω	0.98513499143121	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	2832b4 11328d4 1062h4 8850be4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 354d4

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

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Quadratic twists for elliptic curve 354d4

-4	8	-3	5	-7	-11	13	17	-19	-59
2832b4	11328d4	1062h4	8850be4	17346m4	42834y3	59826n3	102306l3	127794bq3	20886j4

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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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