Atkin-Lehner |
2- 3+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
125628a |
Isogeny class |
Conductor |
125628 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-1456631418082542336 = -1 · 28 · 32 · 197 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 -5 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,156915,52857513] |
[a1,a2,a3,a4,a6] |
Generators |
[1704:72561:1] |
Generators of the group modulo torsion |
j |
35477479424/120945051 |
j-invariant |
L |
6.2614738183343 |
L(r)(E,1)/r! |
Ω |
0.19069121057895 |
Real period |
R |
4.1044588319905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6612c1 |
Quadratic twists by: -19 |