Atkin-Lehner |
2+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
115150c |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
308448 |
Modular degree for the optimal curve |
Δ |
-33868205875000 = -1 · 23 · 56 · 78 · 47 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 3 1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7325,145125] |
[a1,a2,a3,a4,a6] |
j |
482447/376 |
j-invariant |
L |
3.7846145280983 |
L(r)(E,1)/r! |
Ω |
0.42051272106686 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4606h1 115150j1 |
Quadratic twists by: 5 -7 |