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	390c	Isogeny class
Conductor	390	Conductor
∏ cp	36	Product of Tamagawa factors cp
Δ	4928040 = 23 · 36 · 5 · 132	Discriminant
Eigenvalues	2- 3- 5+  2  0 13-  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-206,1116]	[a1,a2,a3,a4,a6]
j	967068262369/4928040	j-invariant
L	2.4442145216793	L(r)(E,1)/r!
Ω	2.4442145216793	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	3120q2 12480l2 1170g2 1950a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 390c2

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

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Quadratic twists for elliptic curve 390c2

-4	8	-3	5	-7	-11	13	17
3120q2	12480l2	1170g2	1950a2	19110by2	47190y2	5070k2	112710ci2

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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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