Cremona's table of elliptic curves

8190 = 2 · 3² · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7- 13-	Signs for the Atkin-Lehner involutions
Class	8190n	Isogeny class
Conductor	8190	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	6815361047040000 = 212 · 38 · 54 · 74 · 132	Discriminant
Eigenvalues	2+ 3- 5+ 7-  4 13-  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-187650,-30987500]	[a1,a2,a3,a4,a6]
j	1002404925316922401/9348917760000	j-invariant
L	1.8361018371833	L(r)(E,1)/r!
Ω	0.22951272964792	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	65520cv2 2730x2 40950ds2 57330ci2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 8190n2

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	-	6	-4	8	10	0	-2	6	12	-8	2	-4	-2	-4	-8	-14	16	4	6	-6

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Quadratic twists for elliptic curve 8190n2

-4	-3	5	-7	13
65520cv2	2730x2	40950ds2	57330ci2	106470fi2

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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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