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	36	Product of Tamagawa factors cp
Δ	576510977802240 = 215 · 36 · 5 · 136	Discriminant
Eigenvalues	2+ 3- 5-  2  0 13-  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-872578,-313799212]	[a1,a2,a3,a4,a6]
j	73474353581350183614361/576510977802240	j-invariant
L	1.4058573747585	L(r)(E,1)/r!
Ω	0.15620637497316	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	3120s4 12480b4 1170k4 1950n4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 390d4

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 390d4

-4	8	-3	5	-7	-11	13	17
3120s4	12480b4	1170k4	1950n4	19110c4	47190cy4	5070t4	112710f4

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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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