Atkin-Lehner |
2- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127600bu |
Isogeny class |
Conductor |
127600 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1088640 |
Modular degree for the optimal curve |
Δ |
-54943539200000000 = -1 · 219 · 58 · 11 · 293 |
Discriminant |
Eigenvalues |
2- -1 5- 4 11- -1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-275208,-56611088] |
[a1,a2,a3,a4,a6] |
Generators |
[3417:197200:1] |
Generators of the group modulo torsion |
j |
-1440749475625/34339712 |
j-invariant |
L |
7.1764990229258 |
L(r)(E,1)/r! |
Ω |
0.10407400147162 |
Real period |
R |
3.8308740160574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054623 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15950h1 127600bd1 |
Quadratic twists by: -4 5 |