Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600fs |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
96768000000000 = 218 · 33 · 59 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -6 -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28833,-1814463] |
[a1,a2,a3,a4,a6] |
Generators |
[493:10176:1] |
Generators of the group modulo torsion |
j |
5177717/189 |
j-invariant |
L |
3.1585099865064 |
L(r)(E,1)/r! |
Ω |
0.36719756086655 |
Real period |
R |
4.3008319268957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600dz1 8400cr1 100800pc1 33600hp1 |
Quadratic twists by: -4 8 -3 5 |