Atkin-Lehner |
5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10075c |
Isogeny class |
Conductor |
10075 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-151282421875 = -1 · 58 · 13 · 313 |
Discriminant |
Eigenvalues |
0 2 5+ 4 3 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,967,-15032] |
[a1,a2,a3,a4,a6] |
j |
6393430016/9682075 |
j-invariant |
L |
3.26284966253 |
L(r)(E,1)/r! |
Ω |
0.54380827708834 |
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 |
90675z1 2015b1 |
Quadratic twists by: -3 5 |