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	16	Product of Tamagawa factors cp
Δ	1368900 = 22 · 34 · 52 · 132	Discriminant
Eigenvalues	2+ 3+ 5+  0  0 13+ -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-33,-63]	[a1,a2,a3,a4,a6]
Generators	[-4:7:1]	Generators of the group modulo torsion
j	4165509529/1368900	j-invariant
L	1.196677432117	L(r)(E,1)/r!
Ω	2.0362500641489	Real period
R	0.5876868726421	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	3120u2 12480bi2 1170m2 1950w2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 390a2

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 390a2

-4	8	-3	5	-7	-11	13	17
3120u2	12480bi2	1170m2	1950w2	19110bh2	47190br2	5070q2	112710bi2

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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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