Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086bc |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-1187232162550382592 = -1 · 218 · 36 · 7 · 316 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1474835,-691008717] |
[a1,a2,a3,a4,a6] |
Generators |
[682266585:-86146215434:42875] |
Generators of the group modulo torsion |
j |
-548347731625/1835008 |
j-invariant |
L |
13.094258013767 |
L(r)(E,1)/r! |
Ω |
0.068485196639468 |
Real period |
R |
10.622131715247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999902896 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13454d5 126a5 |
Quadratic twists by: -3 -31 |