Atkin-Lehner |
2- 3- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59280cj |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-56099025715200 = -1 · 223 · 3 · 52 · 13 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -1 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2705760,1712195700] |
[a1,a2,a3,a4,a6] |
j |
-534849681171628499041/13696051200 |
j-invariant |
L |
5.4828624597143 |
L(r)(E,1)/r! |
Ω |
0.45690520501607 |
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 |
7410p1 |
Quadratic twists by: -4 |