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	390b	Isogeny class
Conductor	390	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-73415764890 = -1 · 2 · 32 · 5 · 138	Discriminant
Eigenvalues	2- 3+ 5-  0  4 13- -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-115,-13093]	[a1,a2,a3,a4,a6]
j	-168288035761/73415764890	j-invariant
L	1.9598275837988	L(r)(E,1)/r!
Ω	0.48995689594971	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	3120z6 12480u6 1170d6 1950g6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 390b6

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	4	-	-6	4	8	6	-8	-10	-6	4	0	-10	4	-2	-12	16	2	-16	-12	10	-6

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Quadratic twists for elliptic curve 390b6

-4	8	-3	5	-7	-11	13	17
3120z6	12480u6	1170d6	1950g6	19110cn6	47190k5	5070a6	112710cr5

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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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