Cremona's table of elliptic curves

1862 = 2 · 7² · 19

Field	Data	Notes
Atkin-Lehner	2- 7- 19-	Signs for the Atkin-Lehner involutions
Class	1862f	Isogeny class
Conductor	1862	Conductor
∏ cp	5	Product of Tamagawa factors cp
deg	660	Modular degree for the optimal curve
Δ	-71530592 = -1 · 25 · 76 · 19	Discriminant
Eigenvalues	2-  1  4 7-  2  1 -3 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1,-407]	[a1,a2,a3,a4,a6]
j	-1/608	j-invariant
L	4.4523504751276	L(r)(E,1)/r!
Ω	0.89047009502552	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	14896z1 59584s1 16758o1 46550v1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1862f1

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
-	1	4	-	2	1	-3	-	-1	-5	8	-2	8	4	-8	-1	-15	-2	3	2	-9	-10	6	0	2

---

Quadratic twists for elliptic curve 1862f1

-4	8	-3	5	-7	-19
14896z1	59584s1	16758o1	46550v1	38b1	35378g1

---

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