Atkin-Lehner |
2- 3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
127512bk |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-10117936426752 = -1 · 28 · 36 · 7 · 114 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33375,-2351806] |
[a1,a2,a3,a4,a6] |
Generators |
[2465:122038:1] |
Generators of the group modulo torsion |
j |
-22030281250000/54215623 |
j-invariant |
L |
7.6533848848904 |
L(r)(E,1)/r! |
Ω |
0.1765835376738 |
Real period |
R |
5.4176800633417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14168h1 |
Quadratic twists by: -3 |