Atkin-Lehner |
2- 3+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
89298br |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-45748961333856 = -1 · 25 · 39 · 116 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 1 4 11- 5 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7963,-178307] |
[a1,a2,a3,a4,a6] |
j |
1601613/1312 |
j-invariant |
L |
7.0741552120872 |
L(r)(E,1)/r! |
Ω |
0.35370776021051 |
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 |
89298c1 738a1 |
Quadratic twists by: -3 -11 |