Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57200bo |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-475904000000000 = -1 · 217 · 59 · 11 · 132 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 11- 13+ 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-374408,-88060688] |
[a1,a2,a3,a4,a6] |
Generators |
[1497:52000:1] |
Generators of the group modulo torsion |
j |
-90694355177089/7436000 |
j-invariant |
L |
5.2865790029112 |
L(r)(E,1)/r! |
Ω |
0.096500829411576 |
Real period |
R |
3.4239207029795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7150b1 11440l1 |
Quadratic twists by: -4 5 |