Atkin-Lehner |
3- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48825t |
Isogeny class |
Conductor |
48825 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
638976 |
Modular degree for the optimal curve |
Δ |
-458011187574609375 = -1 · 38 · 58 · 78 · 31 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-147380,-39135378] |
[a1,a2,a3,a4,a6] |
j |
-31080575499121/40209486975 |
j-invariant |
L |
0.46485647026427 |
L(r)(E,1)/r! |
Ω |
0.1162141174832 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16275b1 9765i1 |
Quadratic twists by: -3 5 |