Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33120b |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
83298456000000 = 29 · 39 · 56 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26163,-1568538] |
[a1,a2,a3,a4,a6] |
j |
196528293144/8265625 |
j-invariant |
L |
1.5054419104744 |
L(r)(E,1)/r! |
Ω |
0.37636047761968 |
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 |
33120x2 66240z2 33120ba2 |
Quadratic twists by: -4 8 -3 |