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	390a	Isogeny class
Conductor	390	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	2570490 = 2 · 32 · 5 · 134	Discriminant
Eigenvalues	2+ 3+ 5+  0  0 13+ -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-483,-4293]	[a1,a2,a3,a4,a6]
Generators	[-13:7:1]	Generators of the group modulo torsion
j	12501706118329/2570490	j-invariant
L	1.196677432117	L(r)(E,1)/r!
Ω	1.0181250320745	Real period
R	1.1753737452842	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3120u3 12480bi3 1170m3 1950w3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 390a3

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

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Quadratic twists for elliptic curve 390a3

-4	8	-3	5	-7	-11	13	17
3120u3	12480bi3	1170m3	1950w3	19110bh3	47190br4	5070q3	112710bi4

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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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