Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16240o |
Isogeny class |
Conductor |
16240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
568400 = 24 · 52 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 2 -6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21,-4] |
[a1,a2,a3,a4,a6] |
Generators |
[58:105:8] |
Generators of the group modulo torsion |
j |
67108864/35525 |
j-invariant |
L |
6.5847059613722 |
L(r)(E,1)/r! |
Ω |
2.3582175961048 |
Real period |
R |
2.7922384992159 |
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 |
4060a1 64960ca1 81200bb1 113680bn1 |
Quadratic twists by: -4 8 5 -7 |