Atkin-Lehner |
3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
6975r |
Isogeny class |
Conductor |
6975 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
238348828125 = 39 · 58 · 31 |
Discriminant |
Eigenvalues |
2 3- 5- 4 1 6 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-13125,578281] |
[a1,a2,a3,a4,a6] |
j |
878080000/837 |
j-invariant |
L |
5.9049910482032 |
L(r)(E,1)/r! |
Ω |
0.98416517470053 |
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 |
111600ge1 2325f1 6975n1 |
Quadratic twists by: -4 -3 5 |