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	8	Product of Tamagawa factors cp
Δ	10571870144160 = 25 · 34 · 5 · 138	Discriminant
Eigenvalues	2+ 3- 5+  4  0 13+ -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-6209,104276]	[a1,a2,a3,a4,a6]
j	26465989780414729/10571870144160	j-invariant
L	1.3107516518797	L(r)(E,1)/r!
Ω	0.65537582593984	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	3120o4 12480s3 1170n4 1950q3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 390g3

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 390g3

-4	8	-3	5	-7	-11	13	17
3120o4	12480s3	1170n4	1950q3	19110n4	47190cq3	5070w3	112710j3

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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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