Atkin-Lehner |
11+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64493a |
Isogeny class |
Conductor |
64493 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-9222499 = -1 · 113 · 132 · 41 |
Discriminant |
Eigenvalues |
1 0 3 -1 11+ 13+ -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3383,76588] |
[a1,a2,a3,a4,a6] |
Generators |
[36:4:1] |
Generators of the group modulo torsion |
j |
-3217539292947/6929 |
j-invariant |
L |
7.5443508341092 |
L(r)(E,1)/r! |
Ω |
1.9882238645132 |
Real period |
R |
0.94862944865226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000726 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64493e1 |
Quadratic twists by: -11 |