Atkin-Lehner |
2+ 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
89298bg |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
139392 |
Modular degree for the optimal curve |
Δ |
-94522647384 = -1 · 23 · 39 · 114 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 3 -4 11- 5 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,522,13932] |
[a1,a2,a3,a4,a6] |
j |
1472207/8856 |
j-invariant |
L |
1.5471196730041 |
L(r)(E,1)/r! |
Ω |
0.77355980322434 |
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 |
29766bn1 89298cf1 |
Quadratic twists by: -3 -11 |