Atkin-Lehner |
2- 3- 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
23700o |
Isogeny class |
Conductor |
23700 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4176 |
Modular degree for the optimal curve |
Δ |
2370000 = 24 · 3 · 54 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 -5 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-12] |
[a1,a2,a3,a4,a6] |
j |
409600/237 |
j-invariant |
L |
2.1789161940097 |
L(r)(E,1)/r! |
Ω |
2.1789161940096 |
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 |
94800cf1 71100v1 23700a1 |
Quadratic twists by: -4 -3 5 |