Atkin-Lehner |
3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
64575p |
Isogeny class |
Conductor |
64575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
54528 |
Modular degree for the optimal curve |
Δ |
-109842075 = -1 · 37 · 52 · 72 · 41 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ -3 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-21180,1186416] |
[a1,a2,a3,a4,a6] |
Generators |
[86:-32:1] |
Generators of the group modulo torsion |
j |
-57654610493440/6027 |
j-invariant |
L |
3.5114733480378 |
L(r)(E,1)/r! |
Ω |
1.4474924795749 |
Real period |
R |
0.3032376158695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000214 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21525t1 64575br1 |
Quadratic twists by: -3 5 |