Cremona's table of elliptic curves

119483 = 7 · 13² · 101

Field	Data	Notes
Atkin-Lehner	7- 13- 101-	Signs for the Atkin-Lehner involutions
Class	119483c	Isogeny class
Conductor	119483	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	1291680	Modular degree for the optimal curve
Δ	-1818122403633474211 = -1 · 75 · 139 · 1012	Discriminant
Eigenvalues	0 -2  1 7-  4 13- -2  1	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-613695,-196291962]	[a1,a2,a3,a4,a6]
j	-2410416013312/171448207	j-invariant
L	1.6987770339405	L(r)(E,1)/r!
Ω	0.084938803786911	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	119483a1	Quadratic twists by: 13

Hecke Eigenvalues for elliptic curve 119483c1

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
0	-2	1	-	4	-	-2	1	3	5	5	2	6	-1	7	5	-12	-4	4	6	-7	7	9	13	-9

---

Quadratic twists for elliptic curve 119483c1

13
119483a1

---

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