Atkin-Lehner |
3+ 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
48675f |
Isogeny class |
Conductor |
48675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
1426025390625 = 32 · 512 · 11 · 59 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 11- -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3463,-54844] |
[a1,a2,a3,a4,a6] |
j |
293946977449/91265625 |
j-invariant |
L |
1.2749409519188 |
L(r)(E,1)/r! |
Ω |
0.63747047632785 |
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 |
9735h1 |
Quadratic twists by: 5 |