Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
3312r |
Isogeny class |
Conductor |
3312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-70325895168 = -1 · 222 · 36 · 23 |
Discriminant |
Eigenvalues |
2- 3- -4 4 2 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1467,-25110] |
[a1,a2,a3,a4,a6] |
j |
-116930169/23552 |
j-invariant |
L |
1.5262926663257 |
L(r)(E,1)/r! |
Ω |
0.38157316658143 |
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 |
414d1 13248br1 368b1 82800dm1 |
Quadratic twists by: -4 8 -3 5 |