Atkin-Lehner |
2- 3+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
96600bl |
Isogeny class |
Conductor |
96600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
16301250000 = 24 · 34 · 57 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6783,-212688] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:9:1] [96:108:1] |
Generators of the group modulo torsion |
j |
138074404864/65205 |
j-invariant |
L |
9.5833551511779 |
L(r)(E,1)/r! |
Ω |
0.52607913114954 |
Real period |
R |
9.1082829405455 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999219 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19320j1 |
Quadratic twists by: 5 |