Atkin-Lehner |
2- 3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
83490cr |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
156464267520 = 28 · 3 · 5 · 116 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1515,-12495] |
[a1,a2,a3,a4,a6] |
j |
217081801/88320 |
j-invariant |
L |
6.3433041842388 |
L(r)(E,1)/r! |
Ω |
0.79291302313732 |
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 |
690f1 |
Quadratic twists by: -11 |