Atkin-Lehner |
2+ 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
36432p |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-218531239762082544 = -1 · 24 · 313 · 113 · 235 |
Discriminant |
Eigenvalues |
2+ 3- 3 5 11- 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,134169,-12167543] |
[a1,a2,a3,a4,a6] |
j |
22899855913233152/18735531529671 |
j-invariant |
L |
5.238751152441 |
L(r)(E,1)/r! |
Ω |
0.17462503841395 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18216g1 12144h1 |
Quadratic twists by: -4 -3 |