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	8190d	Isogeny class
Conductor	8190	Conductor
∏ cp	80	Product of Tamagawa factors cp
Δ	-4366933593750 = -1 · 2 · 33 · 510 · 72 · 132	Discriminant
Eigenvalues	2+ 3+ 5- 7+  0 13- -4 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,4041,-19285]	[a1,a2,a3,a4,a6]
Generators	[11:157:1]	Generators of the group modulo torsion
j	270250212973077/161738281250	j-invariant
L	3.2043167546519	L(r)(E,1)/r!
Ω	0.45280384556638	Real period
R	0.35383055886416	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	65520ck2 8190bb2 40950dd2 57330b2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 8190d2

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

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Quadratic twists for elliptic curve 8190d2

-4	-3	5	-7	13
65520ck2	8190bb2	40950dd2	57330b2	106470dj2

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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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