Atkin-Lehner |
2- 3+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91350da |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
249728062500 = 22 · 39 · 56 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 -4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2405,39097] |
[a1,a2,a3,a4,a6] |
j |
5000211/812 |
j-invariant |
L |
3.7691831607269 |
L(r)(E,1)/r! |
Ω |
0.94229578076295 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91350g1 3654c1 |
Quadratic twists by: -3 5 |