Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050de |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1440000 |
Modular degree for the optimal curve |
Δ |
-63670059654616800 = -1 · 25 · 35 · 52 · 75 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,78284,-8728942] |
[a1,a2,a3,a4,a6] |
Generators |
[1334:23287:8] |
Generators of the group modulo torsion |
j |
1197993859655/1437603552 |
j-invariant |
L |
6.7663168234799 |
L(r)(E,1)/r! |
Ω |
0.18751012389312 |
Real period |
R |
3.6085074972862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999181625 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050gz2 11550cn1 |
Quadratic twists by: 5 -11 |