Atkin-Lehner |
2- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57596b |
Isogeny class |
Conductor |
57596 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-20416463986037504 = -1 · 28 · 72 · 117 · 174 |
Discriminant |
Eigenvalues |
2- -1 -1 7+ 11- 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,65179,-2519471] |
[a1,a2,a3,a4,a6] |
Generators |
[48:847:1] |
Generators of the group modulo torsion |
j |
67521806336/45017819 |
j-invariant |
L |
3.8894052104095 |
L(r)(E,1)/r! |
Ω |
0.21845339459514 |
Real period |
R |
2.2255348891342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995869 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5236d1 |
Quadratic twists by: -11 |