Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
61920bd |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
1857600 = 26 · 33 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33,32] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:10:1] [-1:8:1] |
Generators of the group modulo torsion |
j |
2299968/1075 |
j-invariant |
L |
9.205154714903 |
L(r)(E,1)/r! |
Ω |
2.3569484427454 |
Real period |
R |
1.9527696380508 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61920bf1 123840ef1 61920e1 |
Quadratic twists by: -4 8 -3 |