Atkin-Lehner |
2- 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22320t |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-38428754116608000 = -1 · 219 · 39 · 53 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 -4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,80757,3306042] |
[a1,a2,a3,a4,a6] |
j |
722458663317/476656000 |
j-invariant |
L |
0.91331744515721 |
L(r)(E,1)/r! |
Ω |
0.2283293612893 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2790q2 89280do2 22320z1 111600ck2 |
Quadratic twists by: -4 8 -3 5 |