Atkin-Lehner |
5- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
80465o |
Isogeny class |
Conductor |
80465 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
810000 |
Modular degree for the optimal curve |
Δ |
-33589499648271875 = -1 · 55 · 75 · 116 · 192 |
Discriminant |
Eigenvalues |
2 -1 5- 7+ 11- 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-25450,-8946719] |
[a1,a2,a3,a4,a6] |
j |
-1029077364736/18960396875 |
j-invariant |
L |
1.5862769700265 |
L(r)(E,1)/r! |
Ω |
0.15862769806615 |
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 |
665d1 |
Quadratic twists by: -11 |