Atkin-Lehner |
3+ 5- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
75525f |
Isogeny class |
Conductor |
75525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
504000 |
Modular degree for the optimal curve |
Δ |
35747088233203125 = 314 · 58 · 192 · 53 |
Discriminant |
Eigenvalues |
0 3+ 5- 1 -3 6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-82583,-804307] |
[a1,a2,a3,a4,a6] |
j |
159456013680640/91512545877 |
j-invariant |
L |
1.2232046697946 |
L(r)(E,1)/r! |
Ω |
0.30580116617639 |
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 |
75525j1 |
Quadratic twists by: 5 |