Atkin-Lehner |
2- 5+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
47450r |
Isogeny class |
Conductor |
47450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4810752 |
Modular degree for the optimal curve |
Δ |
127255432128906250 = 2 · 515 · 134 · 73 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 -3 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-349695438,2516853413281] |
[a1,a2,a3,a4,a6] |
j |
302672933732543273052842521/8144347656250 |
j-invariant |
L |
1.3889495499835 |
L(r)(E,1)/r! |
Ω |
0.17361869378076 |
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 |
9490d1 |
Quadratic twists by: 5 |