Atkin-Lehner |
2+ 3- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
45504o |
Isogeny class |
Conductor |
45504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-6678489461686272 = -1 · 232 · 39 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 2 -3 -5 1 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,46356,837808] |
[a1,a2,a3,a4,a6] |
j |
57646656647/34947072 |
j-invariant |
L |
1.0362004269054 |
L(r)(E,1)/r! |
Ω |
0.25905010679524 |
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 |
45504bv1 1422g1 15168f1 |
Quadratic twists by: -4 8 -3 |