Atkin-Lehner |
2- 5- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
39650k |
Isogeny class |
Conductor |
39650 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-191798945000 = -1 · 23 · 54 · 132 · 613 |
Discriminant |
Eigenvalues |
2- 1 5- -1 6 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-513,-21583] |
[a1,a2,a3,a4,a6] |
Generators |
[1406:17757:8] |
Generators of the group modulo torsion |
j |
-23891790625/306878312 |
j-invariant |
L |
11.108415480468 |
L(r)(E,1)/r! |
Ω |
0.43023189929019 |
Real period |
R |
4.3032666409267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
39650b1 |
Quadratic twists by: 5 |