Atkin-Lehner |
2- 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125120cg |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
242176 |
Modular degree for the optimal curve |
Δ |
-19550000000000 = -1 · 210 · 511 · 17 · 23 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 -1 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25501,-1573315] |
[a1,a2,a3,a4,a6] |
Generators |
[185:80:1] [284:3743:1] |
Generators of the group modulo torsion |
j |
-1791069422688256/19091796875 |
j-invariant |
L |
8.9959515961576 |
L(r)(E,1)/r! |
Ω |
0.18877867443095 |
Real period |
R |
23.826715665127 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999972722 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120o1 31280j1 |
Quadratic twists by: -4 8 |