Atkin-Lehner |
3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6975c |
Isogeny class |
Conductor |
6975 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
72000 |
Modular degree for the optimal curve |
Δ |
220120148098828125 = 39 · 58 · 315 |
Discriminant |
Eigenvalues |
0 3+ 5- 0 5 0 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-641250,196353281] |
[a1,a2,a3,a4,a6] |
j |
3792752640000/28629151 |
j-invariant |
L |
1.9000784437674 |
L(r)(E,1)/r! |
Ω |
0.31667974062789 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111600dk1 6975d1 6975a1 |
Quadratic twists by: -4 -3 5 |