Cremona's table of elliptic curves

590 = 2 · 5 · 59

Field	Data	Notes
Atkin-Lehner	2+ 5- 59+	Signs for the Atkin-Lehner involutions
Class	590b	Isogeny class
Conductor	590	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	242347220 = 22 · 5 · 594	Discriminant
Eigenvalues	2+  0 5-  4  4  2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-179,-495]	[a1,a2,a3,a4,a6]
j	636277905801/242347220	j-invariant
L	1.3474059559858	L(r)(E,1)/r!
Ω	1.3474059559858	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	4720e4 18880c3 5310n4 2950k3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 590b3

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	4	2	-6	4	0	-2	0	2	10	-4	0	6	+	14	4	0	-10	8	-12	-14	-10

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Quadratic twists for elliptic curve 590b3

-4	8	-3	5	-7	-11	13	-59
4720e4	18880c3	5310n4	2950k3	28910f3	71390o3	99710u3	34810n3

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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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