Atkin-Lehner |
3+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71775q |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
2062709201953125 = 39 · 58 · 11 · 293 |
Discriminant |
Eigenvalues |
0 3+ 5- 2 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-54000,-4307344] |
[a1,a2,a3,a4,a6] |
Generators |
[61206:382841:216] |
Generators of the group modulo torsion |
j |
2264924160/268279 |
j-invariant |
L |
6.0660250339543 |
L(r)(E,1)/r! |
Ω |
0.31560889311246 |
Real period |
R |
9.6100350237007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001237 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71775n1 71775f2 |
Quadratic twists by: -3 5 |