Atkin-Lehner |
2+ 3- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
48336u |
Isogeny class |
Conductor |
48336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-18561024 = -1 · 211 · 32 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 3 0 5 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,48,180] |
[a1,a2,a3,a4,a6] |
j |
5848414/9063 |
j-invariant |
L |
5.9264490023784 |
L(r)(E,1)/r! |
Ω |
1.4816122506889 |
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 |
24168m1 |
Quadratic twists by: -4 |