Atkin-Lehner |
2- 3+ 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
64080p |
Isogeny class |
Conductor |
64080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-4484574720000 = -1 · 212 · 39 · 54 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -2 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1728,-98064] |
[a1,a2,a3,a4,a6] |
j |
7077888/55625 |
j-invariant |
L |
3.0783082920318 |
L(r)(E,1)/r! |
Ω |
0.38478853701526 |
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 |
4005b1 64080o1 |
Quadratic twists by: -4 -3 |