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
Δ	10140000 = 25 · 3 · 54 · 132	Discriminant
Eigenvalues	2+ 3- 5+  4  0 13+ -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-86529,9789652]	[a1,a2,a3,a4,a6]
j	71647584155243142409/10140000	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	3120o3 12480s4 1170n3 1950q4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 390g4

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 390g4

-4	8	-3	5	-7	-11	13	17
3120o3	12480s4	1170n3	1950q4	19110n3	47190cq4	5070w4	112710j4

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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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