Atkin-Lehner |
2- 3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
63756bg |
Isogeny class |
Conductor |
63756 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-14517039220992 = -1 · 28 · 37 · 7 · 115 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 1 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-165639,-25947938] |
[a1,a2,a3,a4,a6] |
j |
-2693047528777552/77787633 |
j-invariant |
L |
3.5497634324988 |
L(r)(E,1)/r! |
Ω |
0.11832544770882 |
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 |
21252j1 |
Quadratic twists by: -3 |