Atkin-Lehner |
3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
83475bm |
Isogeny class |
Conductor |
83475 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-41075960625 = -1 · 311 · 54 · 7 · 53 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -5 4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-117,-9734] |
[a1,a2,a3,a4,a6] |
j |
-390625/90153 |
j-invariant |
L |
3.0696133790478 |
L(r)(E,1)/r! |
Ω |
0.51160222538091 |
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 |
27825h1 83475v1 |
Quadratic twists by: -3 5 |