Cremona's table of elliptic curves

2190 = 2 · 3 · 5 · 73

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 73-	Signs for the Atkin-Lehner involutions
Class	2190i	Isogeny class
Conductor	2190	Conductor
∏ cp	26	Product of Tamagawa factors cp
deg	624	Modular degree for the optimal curve
Δ	-26910720 = -1 · 213 · 32 · 5 · 73	Discriminant
Eigenvalues	2- 3+ 5+ -2  2  0 -3  1	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,59,203]	[a1,a2,a3,a4,a6]
Generators	[-1:12:1]	Generators of the group modulo torsion
j	22689222191/26910720	j-invariant
L	3.5705501235608	L(r)(E,1)/r!
Ω	1.4102104175824	Real period
R	0.097381815645364	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	17520t1 70080bc1 6570m1 10950h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2190i1

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	2	0	-3	1	-5	-7	5	-5	3	1	-12	4	14	-14	-10	-12	-	-14	-8	7	14

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Quadratic twists for elliptic curve 2190i1

-4	8	-3	5	-7
17520t1	70080bc1	6570m1	10950h1	107310di1

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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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