Atkin-Lehner |
2- 3- 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
48336bp |
Isogeny class |
Conductor |
48336 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-34735545778176 = -1 · 217 · 36 · 193 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 4 5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45464,-3757164] |
[a1,a2,a3,a4,a6] |
j |
-2537325859890457/8480357856 |
j-invariant |
L |
1.961309766117 |
L(r)(E,1)/r! |
Ω |
0.16344248052175 |
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 |
6042d1 |
Quadratic twists by: -4 |