Atkin-Lehner |
2- 3+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50880bw |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-1022606337600 = -1 · 26 · 34 · 52 · 534 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1764,-40014] |
[a1,a2,a3,a4,a6] |
j |
9479670858944/15978224025 |
j-invariant |
L |
0.92205405479308 |
L(r)(E,1)/r! |
Ω |
0.46102702732474 |
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 |
50880de1 25440bj2 |
Quadratic twists by: -4 8 |