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	12	Product of Tamagawa factors cp
Δ	-411937500 = -1 · 22 · 3 · 56 · 133	Discriminant
Eigenvalues	2- 3- 5+  2  0 13-  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,54,-960]	[a1,a2,a3,a4,a6]
j	17394111071/411937500	j-invariant
L	2.4442145216793	L(r)(E,1)/r!
Ω	0.8147381738931	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	3120q3 12480l3 1170g3 1950a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 390c3

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 390c3

-4	8	-3	5	-7	-11	13	17
3120q3	12480l3	1170g3	1950a3	19110by3	47190y3	5070k3	112710ci3

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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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