Atkin-Lehner |
3- 11- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
29601g |
Isogeny class |
Conductor |
29601 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4354026965223507 = 39 · 114 · 134 · 232 |
Discriminant |
Eigenvalues |
1 3- -4 2 11- 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-37014534,86686787389] |
[a1,a2,a3,a4,a6] |
Generators |
[2300:115967:1] |
Generators of the group modulo torsion |
j |
7693306744841411288190049/5972602147083 |
j-invariant |
L |
4.5092581365074 |
L(r)(E,1)/r! |
Ω |
0.27163431568795 |
Real period |
R |
2.0750591310081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9867d2 |
Quadratic twists by: -3 |