Atkin-Lehner |
7+ 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
119483a |
Isogeny class |
Conductor |
119483 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
99360 |
Modular degree for the optimal curve |
Δ |
-376671710779 = -1 · 75 · 133 · 1012 |
Discriminant |
Eigenvalues |
0 -2 -1 7+ -4 13- -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3631,-90463] |
[a1,a2,a3,a4,a6] |
Generators |
[95:656:1] |
Generators of the group modulo torsion |
j |
-2410416013312/171448207 |
j-invariant |
L |
1.5701999587621 |
L(r)(E,1)/r! |
Ω |
0.30625121233028 |
Real period |
R |
1.2817908659166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999995682001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119483c1 |
Quadratic twists by: 13 |