Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232do |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-18206497818279936 = -1 · 220 · 34 · 118 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 11- 5 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-104705,14532351] |
[a1,a2,a3,a4,a6] |
j |
-2259169/324 |
j-invariant |
L |
2.9998497208644 |
L(r)(E,1)/r! |
Ω |
0.37498121510805 |
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 |
23232l1 5808r1 69696gg1 23232dn1 |
Quadratic twists by: -4 8 -3 -11 |