Atkin-Lehner |
11- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
64493h |
Isogeny class |
Conductor |
64493 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
9138085466653 = 114 · 135 · 412 |
Discriminant |
Eigenvalues |
-1 -1 4 -4 11- 13+ 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5266,19746] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:432:1] |
Generators of the group modulo torsion |
j |
1103063947249/624143533 |
j-invariant |
L |
3.383739432646 |
L(r)(E,1)/r! |
Ω |
0.62877670749951 |
Real period |
R |
2.6907321730755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986617 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64493j1 |
Quadratic twists by: -11 |