Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330em |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
4090920468485760000 = 210 · 38 · 54 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2471153,-1491405919] |
[a1,a2,a3,a4,a6] |
Generators |
[-929:1836:1] |
Generators of the group modulo torsion |
j |
19458380202497209/47698560000 |
j-invariant |
L |
8.1685746145355 |
L(r)(E,1)/r! |
Ω |
0.12043109479926 |
Real period |
R |
1.6956946683925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000177 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19110bj2 8190bs2 |
Quadratic twists by: -3 -7 |