Atkin-Lehner |
2- 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12144ba |
Isogeny class |
Conductor |
12144 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-65897051593900032 = -1 · 228 · 36 · 114 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 4 -2 11- -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,75384,9412848] |
[a1,a2,a3,a4,a6] |
j |
11566328890520951/16088147361792 |
j-invariant |
L |
1.8832687778472 |
L(r)(E,1)/r! |
Ω |
0.23540859723089 |
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 |
1518g1 48576di1 36432bq1 |
Quadratic twists by: -4 8 -3 |