Atkin-Lehner |
2+ 3+ 5- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
24090d |
Isogeny class |
Conductor |
24090 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
247433693220683640 = 23 · 33 · 5 · 1112 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11+ -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-457387,116441701] |
[a1,a2,a3,a4,a6] |
j |
10582216588996785343801/247433693220683640 |
j-invariant |
L |
0.62298665782616 |
L(r)(E,1)/r! |
Ω |
0.31149332891302 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72270ba4 120450by4 |
Quadratic twists by: -3 5 |