Atkin-Lehner |
2- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
57232f |
Isogeny class |
Conductor |
57232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
7879870251008 = 217 · 77 · 73 |
Discriminant |
Eigenvalues |
2- 0 2 7- 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68373179,217608959722] |
[a1,a2,a3,a4,a6] |
Generators |
[144999142747151:4351864396197690:23124766049] |
Generators of the group modulo torsion |
j |
73355527176398544897/16352 |
j-invariant |
L |
6.8980843714492 |
L(r)(E,1)/r! |
Ω |
0.30114797066862 |
Real period |
R |
22.905963324692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7154j3 8176a3 |
Quadratic twists by: -4 -7 |