Atkin-Lehner |
2- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
57232h |
Isogeny class |
Conductor |
57232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2567993430016 = -1 · 212 · 76 · 732 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 2 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2989,-44590] |
[a1,a2,a3,a4,a6] |
Generators |
[1461:14174:27] |
Generators of the group modulo torsion |
j |
6128487/5329 |
j-invariant |
L |
5.3772687290526 |
L(r)(E,1)/r! |
Ω |
0.44700364024972 |
Real period |
R |
6.01479299571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000355 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3577a2 1168a2 |
Quadratic twists by: -4 -7 |