Atkin-Lehner |
2- 3- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
127512bj |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-12827962224 = -1 · 24 · 39 · 7 · 11 · 232 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11+ 3 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6051,-181253] |
[a1,a2,a3,a4,a6] |
j |
-2100669161728/1099791 |
j-invariant |
L |
4.330311622768 |
L(r)(E,1)/r! |
Ω |
0.27064445459544 |
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 |
42504k1 |
Quadratic twists by: -3 |