Atkin-Lehner |
2- 3- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
23088u |
Isogeny class |
Conductor |
23088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
388392615936 = 216 · 32 · 13 · 373 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -2 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-219432,39490740] |
[a1,a2,a3,a4,a6] |
j |
285276257074764073/94822416 |
j-invariant |
L |
1.5324036294825 |
L(r)(E,1)/r! |
Ω |
0.76620181474132 |
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 |
2886a1 92352br1 69264ba1 |
Quadratic twists by: -4 8 -3 |