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	354b	Isogeny class
Conductor	354	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	40	Modular degree for the optimal curve
Δ	-86022 = -1 · 2 · 36 · 59	Discriminant
Eigenvalues	2+ 3-  0 -1  3  5 -3  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,9,-8]	[a1,a2,a3,a4,a6]
j	94196375/86022	j-invariant
L	1.2450365564924	L(r)(E,1)/r!
Ω	1.8675548347387	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	2832a1 11328a1 1062j1 8850s1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 354b1

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	-1	3	5	-3	8	-6	6	8	5	-9	-1	0	12	+	-10	-4	-3	-16	5	-9	0	-4

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Quadratic twists for elliptic curve 354b1

-4	8	-3	5	-7	-11	13	17	-19	-59
2832a1	11328a1	1062j1	8850s1	17346g1	42834bd1	59826s1	102306a1	127794be1	20886l1

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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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