Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32368bc |
Isogeny class |
Conductor |
32368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-204809131364712448 = -1 · 222 · 7 · 178 |
Discriminant |
Eigenvalues |
2- 2 -4 7- -4 -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,145560,4098416] |
[a1,a2,a3,a4,a6] |
Generators |
[787539303:27798007742:5000211] |
Generators of the group modulo torsion |
j |
3449795831/2071552 |
j-invariant |
L |
5.2910212208991 |
L(r)(E,1)/r! |
Ω |
0.19415175931293 |
Real period |
R |
13.625993500196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4046c1 129472dk1 1904b1 |
Quadratic twists by: -4 8 17 |