Atkin-Lehner |
2- 3- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
99216bg |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-23108076306432 = -1 · 217 · 39 · 132 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 1 5 13+ 8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1299,-231982] |
[a1,a2,a3,a4,a6] |
j |
-81182737/7738848 |
j-invariant |
L |
4.7843237467873 |
L(r)(E,1)/r! |
Ω |
0.29902024017654 |
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 |
12402c1 33072k1 |
Quadratic twists by: -4 -3 |