Cremona's table of elliptic curves

3990 = 2 · 3 · 5 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7+ 19-	Signs for the Atkin-Lehner involutions
Class	3990l	Isogeny class
Conductor	3990	Conductor
∏ cp	224	Product of Tamagawa factors cp
Δ	6633105589454400 = 26 · 314 · 52 · 74 · 192	Discriminant
Eigenvalues	2+ 3- 5+ 7+  4 -2 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-112059,13887046]	[a1,a2,a3,a4,a6]
Generators	[-169:5376:1]	Generators of the group modulo torsion
j	155617476551393929129/6633105589454400	j-invariant
L	3.0071106514458	L(r)(E,1)/r!
Ω	0.41765898178666	Real period
R	0.51427989658351	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	31920z2 127680x2 11970cd2 19950ce2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3990l2

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

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Quadratic twists for elliptic curve 3990l2

-4	8	-3	5	-7	-19
31920z2	127680x2	11970cd2	19950ce2	27930q2	75810cc2

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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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