Atkin-Lehner |
2- 3+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
99600bo |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-44059852800 = -1 · 218 · 34 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 1 -4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-248,-10128] |
[a1,a2,a3,a4,a6] |
Generators |
[26:18:1] [28:64:1] |
Generators of the group modulo torsion |
j |
-16539745/430272 |
j-invariant |
L |
9.8871894633951 |
L(r)(E,1)/r! |
Ω |
0.49387960142197 |
Real period |
R |
2.5024290927293 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000166 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12450i1 99600dm1 |
Quadratic twists by: -4 5 |