Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600hp |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
6193152000 = 218 · 33 · 53 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1153,-14977] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:15:1] |
Generators of the group modulo torsion |
j |
5177717/189 |
j-invariant |
L |
6.8474015989754 |
L(r)(E,1)/r! |
Ω |
0.82107870726972 |
Real period |
R |
1.38991985753 |
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 |
33600bu1 8400by1 100800qb1 33600fs1 |
Quadratic twists by: -4 8 -3 5 |