Atkin-Lehner |
2- 5+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
47150o |
Isogeny class |
Conductor |
47150 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-1176031802500000 = -1 · 25 · 57 · 234 · 412 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 0 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,10037,-1599719] |
[a1,a2,a3,a4,a6] |
j |
7156699039511/75266035360 |
j-invariant |
L |
9.6053054463824 |
L(r)(E,1)/r! |
Ω |
0.24013263615685 |
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 |
9430b2 |
Quadratic twists by: 5 |