Atkin-Lehner |
2- 3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550ep |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
72887801893593750 = 2 · 37 · 57 · 78 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1343255,-598742503] |
[a1,a2,a3,a4,a6] |
j |
23531588875176481/6398929110 |
j-invariant |
L |
4.4876294101119 |
L(r)(E,1)/r! |
Ω |
0.14023843305343 |
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 |
38850bj4 23310h4 |
Quadratic twists by: -3 5 |