Atkin-Lehner |
2+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86800v |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
2722048000 = 211 · 53 · 73 · 31 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -3 -5 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-488,3472] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:28:1] [-3:70:1] |
Generators of the group modulo torsion |
j |
50307514/10633 |
j-invariant |
L |
8.7462230787938 |
L(r)(E,1)/r! |
Ω |
1.3580024424395 |
Real period |
R |
0.26835442280937 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000051 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43400l1 86800t1 |
Quadratic twists by: -4 5 |