Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330du |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
1.1684077950042E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-69042308,-147329613273] |
[a1,a2,a3,a4,a6] |
j |
424378956393532177129/136231857216000000 |
j-invariant |
L |
2.5779030363026 |
L(r)(E,1)/r! |
Ω |
0.053706313305981 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19110j6 8190bv6 |
Quadratic twists by: -3 -7 |