Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330em |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
41152711855600800 = 25 · 37 · 52 · 77 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-39515153,-95597983519] |
[a1,a2,a3,a4,a6] |
Generators |
[-3629:1836:1] |
Generators of the group modulo torsion |
j |
79560762543506753209/479824800 |
j-invariant |
L |
8.1685746145355 |
L(r)(E,1)/r! |
Ω |
0.060215547399632 |
Real period |
R |
3.391389336785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110bj3 8190bs3 |
Quadratic twists by: -3 -7 |