Atkin-Lehner |
2- 3- 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
23700t |
Isogeny class |
Conductor |
23700 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
32400 |
Modular degree for the optimal curve |
Δ |
133120530000 = 24 · 33 · 54 · 793 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -6 -1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5933,-177012] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:15:1] |
Generators of the group modulo torsion |
j |
2310042419200/13312053 |
j-invariant |
L |
4.9218635599518 |
L(r)(E,1)/r! |
Ω |
0.5441587046539 |
Real period |
R |
1.0049893977739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
94800cc1 71100bb1 23700g1 |
Quadratic twists by: -4 -3 5 |