Atkin-Lehner |
2+ 3- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
45504u |
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 |
1.4669837322484 |
L(r)(E,1)/r! |
Ω |
0.18337296655747 |
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 |
45504cc1 2844c1 15168g1 |
Quadratic twists by: -4 8 -3 |