Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33120y |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
18108360000 = 26 · 39 · 54 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1053,-11448] |
[a1,a2,a3,a4,a6] |
Generators |
[84:702:1] |
Generators of the group modulo torsion |
j |
102503232/14375 |
j-invariant |
L |
5.0407006757829 |
L(r)(E,1)/r! |
Ω |
0.84590731722951 |
Real period |
R |
2.9794639277337 |
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 |
33120w1 66240ea2 33120c1 |
Quadratic twists by: -4 8 -3 |