Atkin-Lehner |
2- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
32450o |
Isogeny class |
Conductor |
32450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
107136 |
Modular degree for the optimal curve |
Δ |
-6212714750000 = -1 · 24 · 56 · 112 · 593 |
Discriminant |
Eigenvalues |
2- -1 5+ -5 11+ 4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6413,228531] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:668:1] |
Generators of the group modulo torsion |
j |
-1866773548297/397613744 |
j-invariant |
L |
4.7741745529768 |
L(r)(E,1)/r! |
Ω |
0.72154403071345 |
Real period |
R |
0.2756920315877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1298a1 |
Quadratic twists by: 5 |