Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330eg |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
869668466940000 = 25 · 37 · 54 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38159078,90738287637] |
[a1,a2,a3,a4,a6] |
Generators |
[3573:-2437:1] |
Generators of the group modulo torsion |
j |
71647584155243142409/10140000 |
j-invariant |
L |
8.5514806010465 |
L(r)(E,1)/r! |
Ω |
0.28602946009653 |
Real period |
R |
0.7474300547493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000295 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110n3 1170n3 |
Quadratic twists by: -3 -7 |