Atkin-Lehner |
2- 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
86700bb |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19094400 |
Modular degree for the optimal curve |
Δ |
2.059557505668E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 1 4 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-568270333,-5213879671463] |
[a1,a2,a3,a4,a6] |
j |
5818717724672/59049 |
j-invariant |
L |
3.3395259016681 |
L(r)(E,1)/r! |
Ω |
0.03092153700302 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86700cd1 86700bz1 |
Quadratic twists by: 5 17 |