Atkin-Lehner |
2- 5- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
56870bb |
Isogeny class |
Conductor |
56870 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
160160 |
Modular degree for the optimal curve |
Δ |
26019802187500 = 22 · 57 · 116 · 47 |
Discriminant |
Eigenvalues |
2- -1 5- 1 11- 5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11800,-432915] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:283:1] |
Generators of the group modulo torsion |
j |
102568953241/14687500 |
j-invariant |
L |
8.6108302736455 |
L(r)(E,1)/r! |
Ω |
0.4624381081733 |
Real period |
R |
1.330035942977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
470c1 |
Quadratic twists by: -11 |