Cremona's table of elliptic curves

390 = 2 · 3 · 5 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 13+	Signs for the Atkin-Lehner involutions
Class	390g	Isogeny class
Conductor	390	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	320	Modular degree for the optimal curve
Δ	-2658140160 = -1 · 220 · 3 · 5 · 132	Discriminant
Eigenvalues	2+ 3- 5+  4  0 13+ -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-289,3092]	[a1,a2,a3,a4,a6]
j	-2656166199049/2658140160	j-invariant
L	1.3107516518797	L(r)(E,1)/r!
Ω	1.3107516518797	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	3120o1 12480s1 1170n1 1950q1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 390g1

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

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Quadratic twists for elliptic curve 390g1

-4	8	-3	5	-7	-11	13	17
3120o1	12480s1	1170n1	1950q1	19110n1	47190cq1	5070w1	112710j1

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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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