Atkin-Lehner |
3- 5+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
52725p |
Isogeny class |
Conductor |
52725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-308935546875 = -1 · 32 · 511 · 19 · 37 |
Discriminant |
Eigenvalues |
-2 3- 5+ 4 5 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1908,-42406] |
[a1,a2,a3,a4,a6] |
j |
-49188818944/19771875 |
j-invariant |
L |
2.8332080562986 |
L(r)(E,1)/r! |
Ω |
0.3541510073053 |
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 |
10545a1 |
Quadratic twists by: 5 |