Atkin-Lehner |
2+ 3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
127512v |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-192685981311065088 = -1 · 210 · 38 · 7 · 114 · 234 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-179931,36180646] |
[a1,a2,a3,a4,a6] |
Generators |
[-249:8096:1] |
Generators of the group modulo torsion |
j |
-863006780831332/258120581103 |
j-invariant |
L |
6.0222530218126 |
L(r)(E,1)/r! |
Ω |
0.3017145648317 |
Real period |
R |
1.2475062906952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999001406 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42504y3 |
Quadratic twists by: -3 |