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	8190bv	Isogeny class
Conductor	8190	Conductor
∏ cp	864	Product of Tamagawa factors cp
Δ	-1904454288801792000 = -1 · 224 · 310 · 53 · 7 · 133	Discriminant
Eigenvalues	2- 3- 5- 7-  0 13-  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,249853,45738371]	[a1,a2,a3,a4,a6]
j	2366200373628880151/2612420149248000	j-invariant
L	4.1967019411209	L(r)(E,1)/r!
Ω	0.17486258088004	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	65520du3 2730n3 40950r3 57330du3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 8190bv3

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

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Quadratic twists for elliptic curve 8190bv3

-4	-3	5	-7	13
65520du3	2730n3	40950r3	57330du3	106470w3

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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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