Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9240p |
Isogeny class |
Conductor |
9240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1366041600 = 210 · 32 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-320,1200] |
[a1,a2,a3,a4,a6] |
j |
3550014724/1334025 |
j-invariant |
L |
2.7786351051031 |
L(r)(E,1)/r! |
Ω |
1.3893175525516 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18480n2 73920t2 27720bm2 46200bu2 |
Quadratic twists by: -4 8 -3 5 |