Cremona's table of elliptic curves

1860 = 2² · 3 · 5 · 31

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 31-	Signs for the Atkin-Lehner involutions
Class	1860c	Isogeny class
Conductor	1860	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	384	Modular degree for the optimal curve
Δ	6227280 = 24 · 34 · 5 · 312	Discriminant
Eigenvalues	2- 3- 5- -2 -4 -4  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-145,-712]	[a1,a2,a3,a4,a6]
Generators	[-7:3:1]	Generators of the group modulo torsion
j	21217755136/389205	j-invariant
L	3.362598523226	L(r)(E,1)/r!
Ω	1.3765496499434	Real period
R	0.40712885817621	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7440m1 29760j1 5580e1 9300d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1860c1

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	-4	-4	0	0	0	-6	-	-8	-10	-4	10	0	-4	-6	-2	8	4	16	-4	-18	14

---

Quadratic twists for elliptic curve 1860c1

-4	8	-3	5	-7	-31
7440m1	29760j1	5580e1	9300d1	91140e1	57660e1

---

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