Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672do |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-53957949833216 = -1 · 214 · 117 · 132 |
Discriminant |
Eigenvalues |
2- 1 1 -2 11- 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-116805,15330467] |
[a1,a2,a3,a4,a6] |
j |
-6072054784/1859 |
j-invariant |
L |
2.46592463308 |
L(r)(E,1)/r! |
Ω |
0.61648119246113 |
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 |
100672bp1 25168b1 9152y1 |
Quadratic twists by: -4 8 -11 |