Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29744z |
Isogeny class |
Conductor |
29744 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-3184076456996864 = -1 · 212 · 115 · 136 |
Discriminant |
Eigenvalues |
2- 1 -1 -2 11- 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27941,3246803] |
[a1,a2,a3,a4,a6] |
Generators |
[758:20449:1] |
Generators of the group modulo torsion |
j |
-122023936/161051 |
j-invariant |
L |
5.1485375981766 |
L(r)(E,1)/r! |
Ω |
0.4046029318362 |
Real period |
R |
1.2724914213575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1859a2 118976cb2 176b2 |
Quadratic twists by: -4 8 13 |