Atkin-Lehner |
2- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
29200bf |
Isogeny class |
Conductor |
29200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
730000 = 24 · 54 · 73 |
Discriminant |
Eigenvalues |
2- 3 5- 2 4 -4 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25,-25] |
[a1,a2,a3,a4,a6] |
j |
172800/73 |
j-invariant |
L |
6.6518838445438 |
L(r)(E,1)/r! |
Ω |
2.2172946148482 |
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 |
7300g1 116800de1 29200t1 |
Quadratic twists by: -4 8 5 |