Atkin-Lehner |
2- 3- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71568bg |
Isogeny class |
Conductor |
71568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
478785000701952 = 218 · 36 · 7 · 713 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -6 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7516515,-7931820958] |
[a1,a2,a3,a4,a6] |
Generators |
[-86690662125154436104:185735009562886199:54771558946872832] |
Generators of the group modulo torsion |
j |
15728446204516662625/160344128 |
j-invariant |
L |
5.3283685226548 |
L(r)(E,1)/r! |
Ω |
0.091179125554841 |
Real period |
R |
29.219234613763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994851 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8946i3 7952e3 |
Quadratic twists by: -4 -3 |