Atkin-Lehner |
3+ 5+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
75525b |
Isogeny class |
Conductor |
75525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
202643015625 = 35 · 56 · 19 · 532 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 2 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1963,-26344] |
[a1,a2,a3,a4,a6] |
j |
53540005609/12969153 |
j-invariant |
L |
0.72989341197995 |
L(r)(E,1)/r! |
Ω |
0.72989339737848 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3021a1 |
Quadratic twists by: 5 |