Cremona's table of elliptic curves

4030 = 2 · 5 · 13 · 31

Field	Data	Notes
Atkin-Lehner	2+ 5- 13- 31-	Signs for the Atkin-Lehner involutions
Class	4030a	Isogeny class
Conductor	4030	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	17566157440 = 27 · 5 · 134 · 312	Discriminant
Eigenvalues	2+  0 5-  0 -2 13-  4  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-3304,-72000]	[a1,a2,a3,a4,a6]
j	3989493518355801/17566157440	j-invariant
L	1.2597327936045	L(r)(E,1)/r!
Ω	0.62986639680226	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	32240n2 128960b2 36270bn2 20150j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4030a2

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

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Quadratic twists for elliptic curve 4030a2

-4	8	-3	5	13	-31
32240n2	128960b2	36270bn2	20150j2	52390e2	124930c2

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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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