Atkin-Lehner |
2- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
33200bb |
Isogeny class |
Conductor |
33200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-135987200 = -1 · 216 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3 5+ 3 -1 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1195,-15910] |
[a1,a2,a3,a4,a6] |
j |
-1843009065/1328 |
j-invariant |
L |
6.4957424583986 |
L(r)(E,1)/r! |
Ω |
0.40598390365016 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4150m1 33200bp1 |
Quadratic twists by: -4 5 |