Atkin-Lehner |
3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
8325w |
Isogeny class |
Conductor |
8325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
2107265625 = 36 · 57 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 0 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-792,8491] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:943:8] |
Generators of the group modulo torsion |
j |
4826809/185 |
j-invariant |
L |
5.4542956374919 |
L(r)(E,1)/r! |
Ω |
1.4557235380246 |
Real period |
R |
3.7467936012721 |
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 |
925c1 1665f1 |
Quadratic twists by: -3 5 |