Atkin-Lehner |
2- 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
16704bz |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-627608933715935232 = -1 · 240 · 39 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1178604,493965648] |
[a1,a2,a3,a4,a6] |
Generators |
[212880:7316676:125] |
Generators of the group modulo torsion |
j |
-35091039199419/121634816 |
j-invariant |
L |
4.7770005686684 |
L(r)(E,1)/r! |
Ω |
0.28993176295992 |
Real period |
R |
8.2381463139808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16704j1 4176o1 16704bq1 |
Quadratic twists by: -4 8 -3 |