Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86700bz |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1123200 |
Modular degree for the optimal curve |
Δ |
8532580500000000 = 28 · 310 · 59 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -1 4 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1966333,-1061935537] |
[a1,a2,a3,a4,a6] |
j |
5818717724672/59049 |
j-invariant |
L |
2.5498552217577 |
L(r)(E,1)/r! |
Ω |
0.1274927631699 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86700w1 86700bb1 |
Quadratic twists by: 5 17 |