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
deg	48	Modular degree for the optimal curve
Δ	-561600 = -1 · 26 · 33 · 52 · 13	Discriminant
Eigenvalues	2- 3- 5+  2  0 13-  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-6,36]	[a1,a2,a3,a4,a6]
j	-24137569/561600	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	3120q1 12480l1 1170g1 1950a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 390c1

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 390c1

-4	8	-3	5	-7	-11	13	17
3120q1	12480l1	1170g1	1950a1	19110by1	47190y1	5070k1	112710ci1

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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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