Atkin-Lehner |
2+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
64064c |
Isogeny class |
Conductor |
64064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-705408704 = -1 · 26 · 72 · 113 · 132 |
Discriminant |
Eigenvalues |
2+ 3 3 7+ 11+ 13- -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-796,8738] |
[a1,a2,a3,a4,a6] |
j |
-871531204608/11022011 |
j-invariant |
L |
6.4538697520972 |
L(r)(E,1)/r! |
Ω |
1.6134674392911 |
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 |
64064bp1 1001c1 |
Quadratic twists by: -4 8 |