Atkin-Lehner |
2- 3- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
114192bi |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1877733052416 = -1 · 212 · 36 · 132 · 612 |
Discriminant |
Eigenvalues |
2- 3- -2 4 4 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1611,-70470] |
[a1,a2,a3,a4,a6] |
Generators |
[1314:16191:8] |
Generators of the group modulo torsion |
j |
-154854153/628849 |
j-invariant |
L |
7.6332351221611 |
L(r)(E,1)/r! |
Ω |
0.34358016809328 |
Real period |
R |
5.5541878046984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005137 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7137e2 12688a2 |
Quadratic twists by: -4 -3 |