Atkin-Lehner |
2- 3- 7+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69426bh |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5.8707531229168E+22 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 2 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16152512,-22096552845] |
[a1,a2,a3,a4,a6] |
Generators |
[-78675:442163:27] |
Generators of the group modulo torsion |
j |
639317180796043028578489/80531592906951608688 |
j-invariant |
L |
7.719535950625 |
L(r)(E,1)/r! |
Ω |
0.075931203196991 |
Real period |
R |
6.3540544143153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000116 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23142d2 |
Quadratic twists by: -3 |