Atkin-Lehner |
5- 29+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
64525c |
Isogeny class |
Conductor |
64525 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15616 |
Modular degree for the optimal curve |
Δ |
322625 = 53 · 29 · 89 |
Discriminant |
Eigenvalues |
1 2 5- -4 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-270,-1825] |
[a1,a2,a3,a4,a6] |
j |
17515230173/2581 |
j-invariant |
L |
2.3544160580248 |
L(r)(E,1)/r! |
Ω |
1.1772080295213 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64525d1 |
Quadratic twists by: 5 |