Atkin-Lehner |
3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
64575v |
Isogeny class |
Conductor |
64575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
846720 |
Modular degree for the optimal curve |
Δ |
-513096932373046875 = -1 · 36 · 513 · 73 · 412 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ -3 1 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-40575,34606656] |
[a1,a2,a3,a4,a6] |
Generators |
[1605:64062:1] |
Generators of the group modulo torsion |
j |
-648562364416/45045546875 |
j-invariant |
L |
2.3573026906676 |
L(r)(E,1)/r! |
Ω |
0.24231204158085 |
Real period |
R |
1.2160470207638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002507 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7175b1 12915m1 |
Quadratic twists by: -3 5 |