Atkin-Lehner |
2+ 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568l |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8478720 |
Modular degree for the optimal curve |
Δ |
-1.7425410212942E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 -4 6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15752209,-24142001135] |
[a1,a2,a3,a4,a6] |
j |
-14647977776/59049 |
j-invariant |
L |
1.3637406240314 |
L(r)(E,1)/r! |
Ω |
0.037881695916496 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568do1 12696p1 101568i1 |
Quadratic twists by: -4 8 -23 |