Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330bq |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
215117512615687500 = 22 · 38 · 56 · 79 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-880245,-316868679] |
[a1,a2,a3,a4,a6] |
j |
2564040033703/7312500 |
j-invariant |
L |
1.2471338771448 |
L(r)(E,1)/r! |
Ω |
0.15589173457837 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110df2 57330cj2 |
Quadratic twists by: -3 -7 |