Atkin-Lehner |
3+ 7- 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
22533a |
Isogeny class |
Conductor |
22533 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10003773213 = 38 · 72 · 292 · 37 |
Discriminant |
Eigenvalues |
1 3+ 0 7- -4 0 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-165945,25950204] |
[a1,a2,a3,a4,a6] |
j |
505382635281768441625/10003773213 |
j-invariant |
L |
1.8556584124942 |
L(r)(E,1)/r! |
Ω |
0.92782920624712 |
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 |
67599h2 |
Quadratic twists by: -3 |