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	8	Product of Tamagawa factors cp
Δ	10150596 = 22 · 36 · 592	Discriminant
Eigenvalues	2+ 3+  2  0  4 -6  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-54,0]	[a1,a2,a3,a4,a6]
j	17923019113/10150596	j-invariant
L	0.98513499143121	L(r)(E,1)/r!
Ω	1.9702699828624	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	2832b2 11328d2 1062h2 8850be2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 354d2

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 354d2

-4	8	-3	5	-7	-11	13	17	-19	-59
2832b2	11328d2	1062h2	8850be2	17346m2	42834y2	59826n2	102306l2	127794bq2	20886j2

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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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