Atkin-Lehner |
5+ 31- 83- |
Signs for the Atkin-Lehner involutions |
Class |
64325d |
Isogeny class |
Conductor |
64325 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
38635203125 = 56 · 313 · 83 |
Discriminant |
Eigenvalues |
-2 -2 5+ 3 0 -3 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-908,4344] |
[a1,a2,a3,a4,a6] |
Generators |
[58:-388:1] |
Generators of the group modulo torsion |
j |
5304438784/2472653 |
j-invariant |
L |
2.0112496249964 |
L(r)(E,1)/r! |
Ω |
1.0295718824904 |
Real period |
R |
0.32558024988357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001743 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2573a1 |
Quadratic twists by: 5 |