Atkin-Lehner |
2- 3- 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
72048x |
Isogeny class |
Conductor |
72048 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-21902592 = -1 · 28 · 3 · 192 · 79 |
Discriminant |
Eigenvalues |
2- 3- 2 1 3 -1 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-332,2232] |
[a1,a2,a3,a4,a6] |
j |
-15856431568/85557 |
j-invariant |
L |
4.317343713115 |
L(r)(E,1)/r! |
Ω |
2.1586718572686 |
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 |
18012a1 |
Quadratic twists by: -4 |