Cremona's table of elliptic curves

2790 = 2 · 3² · 5 · 31

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 31+	Signs for the Atkin-Lehner involutions
Class	2790o	Isogeny class
Conductor	2790	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	192	Modular degree for the optimal curve
Δ	16740 = 22 · 33 · 5 · 31	Discriminant
Eigenvalues	2- 3+ 5+  4  4  2  0  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-8,7]	[a1,a2,a3,a4,a6]
j	1860867/620	j-invariant
L	3.5977657962068	L(r)(E,1)/r!
Ω	3.5977657962068	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	22320x1 89280s1 2790d1 13950f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2790o1

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
-	+	+	4	4	2	0	0	-2	-2	+	2	0	4	0	-10	-4	8	-2	-6	2	0	-4	6	10

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Quadratic twists for elliptic curve 2790o1

-4	8	-3	5	-31
22320x1	89280s1	2790d1	13950f1	86490bz1

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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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