Atkin-Lehner |
2+ 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
111800a |
Isogeny class |
Conductor |
111800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
1015563250000 = 24 · 56 · 133 · 432 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 4 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17950,-924375] |
[a1,a2,a3,a4,a6] |
Generators |
[-1179100:331041:15625] |
Generators of the group modulo torsion |
j |
2558450755584/4062253 |
j-invariant |
L |
7.9053474174333 |
L(r)(E,1)/r! |
Ω |
0.41250085864944 |
Real period |
R |
9.5822193509493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966675 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4472c1 |
Quadratic twists by: 5 |