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	4	Product of Tamagawa factors cp
Δ	11088090 = 2 · 38 · 5 · 132	Discriminant
Eigenvalues	2- 3+ 5-  0  4 13- -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-9015,-333213]	[a1,a2,a3,a4,a6]
j	81025909800741361/11088090	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	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3120z5 12480u5 1170d5 1950g5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 390b5

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 390b5

-4	8	-3	5	-7	-11	13	17
3120z5	12480u5	1170d5	1950g5	19110cn5	47190k6	5070a5	112710cr6

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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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