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	390d	Isogeny class
Conductor	390	Conductor
∏ cp	108	Product of Tamagawa factors cp
Δ	261896250564000 = 25 · 318 · 53 · 132	Discriminant
Eigenvalues	2+ 3- 5-  2  0 13-  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-16003,27998]	[a1,a2,a3,a4,a6]
j	453198971846635561/261896250564000	j-invariant
L	1.4058573747585	L(r)(E,1)/r!
Ω	0.46861912491949	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	3120s2 12480b2 1170k2 1950n2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 390d2

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	8	2	6	-4	0	-6	0	14	-4	0	-4	-16	-12	-6	-4

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Quadratic twists for elliptic curve 390d2

-4	8	-3	5	-7	-11	13	17
3120s2	12480b2	1170k2	1950n2	19110c2	47190cy2	5070t2	112710f2

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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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