Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12342bd |
Isogeny class |
Conductor |
12342 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
Δ |
-1773391485896667648 = -1 · 29 · 34 · 116 · 176 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,218947,50517105] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:6199:1] |
Generators of the group modulo torsion |
j |
655215969476375/1001033261568 |
j-invariant |
L |
7.8765585796082 |
L(r)(E,1)/r! |
Ω |
0.18002293690614 |
Real period |
R |
0.20256057148251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98736cf4 37026g4 102c4 |
Quadratic twists by: -4 -3 -11 |