Atkin-Lehner |
2+ 3- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
124488v |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-104606519472 = -1 · 24 · 37 · 72 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 0 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1122,-5735] |
[a1,a2,a3,a4,a6] |
j |
13392287744/8968323 |
j-invariant |
L |
4.8194541790986 |
L(r)(E,1)/r! |
Ω |
0.60243189513234 |
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 |
41496bd1 |
Quadratic twists by: -3 |