Atkin-Lehner |
2- 3+ 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
39468d |
Isogeny class |
Conductor |
39468 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-51061014576 = -1 · 24 · 36 · 114 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11- 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-989,-15846] |
[a1,a2,a3,a4,a6] |
j |
-6693166907392/3191313411 |
j-invariant |
L |
0.83227874959765 |
L(r)(E,1)/r! |
Ω |
0.41613937480986 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118404c1 |
Quadratic twists by: -3 |