Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696fs |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-40964620091129856 = -1 · 218 · 36 · 118 |
Discriminant |
Eigenvalues |
2- 3- 1 2 11- -1 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2092332,1164955088] |
[a1,a2,a3,a4,a6] |
j |
-24729001 |
j-invariant |
L |
4.0812342801572 |
L(r)(E,1)/r! |
Ω |
0.34010285719774 |
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 |
69696bq2 17424bt2 7744bb2 69696fu1 |
Quadratic twists by: -4 8 -3 -11 |