Cremona's table of elliptic curves

3190 = 2 · 5 · 11 · 29

Field	Data	Notes
Atkin-Lehner	2+ 5- 11+ 29+	Signs for the Atkin-Lehner involutions
Class	3190b	Isogeny class
Conductor	3190	Conductor
∏ cp	5	Product of Tamagawa factors cp
deg	15080	Modular degree for the optimal curve
Δ	-535193190400000 = -1 · 229 · 55 · 11 · 29	Discriminant
Eigenvalues	2+ -2 5-  3 11+ -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-31413,-2417344]	[a1,a2,a3,a4,a6]
j	-3427931074939043401/535193190400000	j-invariant
L	0.8888873446858	L(r)(E,1)/r!
Ω	0.17777746893716	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	25520r1 102080i1 28710bh1 15950k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3190b1

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
+	-2	-	3	+	-2	-2	0	2	+	0	-6	9	1	-7	13	12	6	-9	3	0	-1	4	6	-11

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Quadratic twists for elliptic curve 3190b1

-4	8	-3	5	-11	29
25520r1	102080i1	28710bh1	15950k1	35090ba1	92510x1

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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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