Atkin-Lehner |
2+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
32200c |
Isogeny class |
Conductor |
32200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
156710960000000 = 210 · 57 · 7 · 234 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23075,-1207250] |
[a1,a2,a3,a4,a6] |
j |
84923690436/9794435 |
j-invariant |
L |
1.5610849978246 |
L(r)(E,1)/r! |
Ω |
0.39027124945566 |
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 |
64400g3 6440e3 |
Quadratic twists by: -4 5 |