Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33396r |
Isogeny class |
Conductor |
33396 |
Conductor |
∏ cp |
198 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-672026020028702064 = -1 · 24 · 311 · 117 · 233 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 11- 2 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-194366,-51479199] |
[a1,a2,a3,a4,a6] |
Generators |
[1822:75141:1] |
Generators of the group modulo torsion |
j |
-28649084226304/23708823039 |
j-invariant |
L |
6.5899820967149 |
L(r)(E,1)/r! |
Ω |
0.10983113887678 |
Real period |
R |
0.30303553439006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100188t1 3036h1 |
Quadratic twists by: -3 -11 |