Atkin-Lehner |
3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
69825cd |
Isogeny class |
Conductor |
69825 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
574560 |
Modular degree for the optimal curve |
Δ |
-21949029432421875 = -1 · 33 · 58 · 78 · 192 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-628833,191856494] |
[a1,a2,a3,a4,a6] |
j |
-12211978240/9747 |
j-invariant |
L |
2.2731687519341 |
L(r)(E,1)/r! |
Ω |
0.37886145844626 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
69825e1 69825bd1 |
Quadratic twists by: 5 -7 |