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	8190s	Isogeny class
Conductor	8190	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	3360	Modular degree for the optimal curve
Δ	-53071200 = -1 · 25 · 36 · 52 · 7 · 13	Discriminant
Eigenvalues	2+ 3- 5- 7+ -3 13-  2 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-294,-1900]	[a1,a2,a3,a4,a6]
j	-3862503009/72800	j-invariant
L	1.1514845774207	L(r)(E,1)/r!
Ω	0.57574228871035	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	65520em1 910g1 40950ee1 57330bb1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 8190s1

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
+	-	-	+	-3	-	2	-6	3	6	-5	-5	-7	-6	7	12	8	15	-7	-4	-7	1	-6	-6	15

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Quadratic twists for elliptic curve 8190s1

-4	-3	5	-7	13
65520em1	910g1	40950ee1	57330bb1	106470et1

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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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