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	2790s	Isogeny class
Conductor	2790	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	288	Modular degree for the optimal curve
Δ	-33480 = -1 · 23 · 33 · 5 · 31	Discriminant
Eigenvalues	2- 3+ 5- -3 -5  0 -2 -1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-2,9]	[a1,a2,a3,a4,a6]
Generators	[-1:3:1]	Generators of the group modulo torsion
j	-19683/1240	j-invariant
L	4.5766558793889	L(r)(E,1)/r!
Ω	3.0457590957672	Real period
R	0.25043871032289	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	22320bc1 89280f1 2790b1 13950e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2790s1

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	-5	0	-2	-1	7	4	+	-8	-12	-1	-12	-5	-8	-6	-2	-3	-15	-1	6	15	16

---

Quadratic twists for elliptic curve 2790s1

-4	8	-3	5	-31
22320bc1	89280f1	2790b1	13950e1	86490cc1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations