Atkin-Lehner |
2- 3- 79- |
Signs for the Atkin-Lehner involutions |
Class |
45504cc |
Isogeny class |
Conductor |
45504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-18572306890752 = -1 · 214 · 315 · 79 |
Discriminant |
Eigenvalues |
2- 3- 4 3 1 -5 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28668,1879760] |
[a1,a2,a3,a4,a6] |
j |
-218156637904/1554957 |
j-invariant |
L |
5.5365970015574 |
L(r)(E,1)/r! |
Ω |
0.6920746252163 |
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 |
45504u1 11376v1 15168m1 |
Quadratic twists by: -4 8 -3 |