Atkin-Lehner |
5- 29+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
64525d |
Isogeny class |
Conductor |
64525 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
78080 |
Modular degree for the optimal curve |
Δ |
5041015625 = 59 · 29 · 89 |
Discriminant |
Eigenvalues |
-1 -2 5- 4 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6763,-214608] |
[a1,a2,a3,a4,a6] |
j |
17515230173/2581 |
j-invariant |
L |
1.0529268682878 |
L(r)(E,1)/r! |
Ω |
0.52646343553364 |
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 |
64525c1 |
Quadratic twists by: 5 |