Atkin-Lehner |
2- 5- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
36550bg |
Isogeny class |
Conductor |
36550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-77668750000 = -1 · 24 · 58 · 172 · 43 |
Discriminant |
Eigenvalues |
2- 0 5- 2 3 -1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13555,610947] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-10:1] |
Generators of the group modulo torsion |
j |
-705069950625/198832 |
j-invariant |
L |
9.6722550704393 |
L(r)(E,1)/r! |
Ω |
1.0620284347371 |
Real period |
R |
0.37947254023827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36550b1 |
Quadratic twists by: 5 |