Atkin-Lehner |
2- 5- 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
75650bi |
Isogeny class |
Conductor |
75650 |
Conductor |
∏ cp |
222 |
Product of Tamagawa factors cp |
deg |
8382720 |
Modular degree for the optimal curve |
Δ |
-1.3808856727552E+21 |
Discriminant |
Eigenvalues |
2- 2 5- 5 3 6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4621513,-4223288969] |
[a1,a2,a3,a4,a6] |
j |
-27945779006451833905/3535067322253312 |
j-invariant |
L |
11.349228952713 |
L(r)(E,1)/r! |
Ω |
0.051122652809386 |
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 |
75650f1 |
Quadratic twists by: 5 |