Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3234t |
Isogeny class |
Conductor |
3234 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-279044839458 = -1 · 2 · 34 · 76 · 114 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-589,25955] |
[a1,a2,a3,a4,a6] |
j |
-192100033/2371842 |
j-invariant |
L |
3.3171064896445 |
L(r)(E,1)/r! |
Ω |
0.82927662241113 |
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 |
25872by3 103488by3 9702x4 80850o3 |
Quadratic twists by: -4 8 -3 5 |