Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25872cl |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-1725843064176 = -1 · 24 · 35 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11+ -1 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-83610,-9333549] |
[a1,a2,a3,a4,a6] |
j |
-34339609640704/916839 |
j-invariant |
L |
2.8075911854531 |
L(r)(E,1)/r! |
Ω |
0.14037955927266 |
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 |
6468f1 103488ge1 77616gd1 3696p1 |
Quadratic twists by: -4 8 -3 -7 |