Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33120v |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-60445656000 = -1 · 26 · 33 · 53 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-933,-16132] |
[a1,a2,a3,a4,a6] |
j |
-51978639168/34980125 |
j-invariant |
L |
0.83866500043462 |
L(r)(E,1)/r! |
Ω |
0.41933250021617 |
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 |
33120a1 66240n1 33120d1 |
Quadratic twists by: -4 8 -3 |