Atkin-Lehner |
3- 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
64575bm |
Isogeny class |
Conductor |
64575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
294400 |
Modular degree for the optimal curve |
Δ |
-8830273060546875 = -1 · 38 · 59 · 75 · 41 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ -2 2 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-54750,-6689844] |
[a1,a2,a3,a4,a6] |
j |
-12747309056/6201783 |
j-invariant |
L |
0.61006727654073 |
L(r)(E,1)/r! |
Ω |
0.15251682014239 |
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 |
21525bb1 64575bq1 |
Quadratic twists by: -3 5 |