Atkin-Lehner |
2+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
64064b |
Isogeny class |
Conductor |
64064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
-68910313472 = -1 · 212 · 76 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 11+ 13- 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-724,14688] |
[a1,a2,a3,a4,a6] |
j |
-10246592448/16823807 |
j-invariant |
L |
1.9666318036557 |
L(r)(E,1)/r! |
Ω |
0.98331589756991 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64064s1 32032i1 |
Quadratic twists by: -4 8 |