Atkin-Lehner |
2- 3- 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
47472l |
Isogeny class |
Conductor |
47472 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-157227264 = -1 · 28 · 33 · 232 · 43 |
Discriminant |
Eigenvalues |
2- 3- -1 1 -1 3 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-556,-5272] |
[a1,a2,a3,a4,a6] |
j |
-74385620944/614169 |
j-invariant |
L |
2.9476302712306 |
L(r)(E,1)/r! |
Ω |
0.49127171195088 |
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 |
11868a1 |
Quadratic twists by: -4 |