Atkin-Lehner |
2- 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56870x |
Isogeny class |
Conductor |
56870 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
2664427744000 = 28 · 53 · 116 · 47 |
Discriminant |
Eigenvalues |
2- 1 5- 1 11- -5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-698475,-224743375] |
[a1,a2,a3,a4,a6] |
j |
21272583599722441/1504000 |
j-invariant |
L |
3.9634472092661 |
L(r)(E,1)/r! |
Ω |
0.16514363386411 |
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 |
470b1 |
Quadratic twists by: -11 |