Atkin-Lehner |
2- 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33120ba |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
114264000000 = 29 · 33 · 56 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2907,58094] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-150:1] |
Generators of the group modulo torsion |
j |
196528293144/8265625 |
j-invariant |
L |
4.2930735884053 |
L(r)(E,1)/r! |
Ω |
1.0420872822624 |
Real period |
R |
0.34330726269915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33120f2 66240h2 33120b2 |
Quadratic twists by: -4 8 -3 |