Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
99600cq |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
6527385600000000 = 226 · 3 · 58 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -6 -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-87408,-9184812] |
[a1,a2,a3,a4,a6] |
Generators |
[4748:326550:1] |
Generators of the group modulo torsion |
j |
1153990560169/101990400 |
j-invariant |
L |
6.9223356132355 |
L(r)(E,1)/r! |
Ω |
0.27922559741826 |
Real period |
R |
6.1977981929285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001217 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12450o1 19920h1 |
Quadratic twists by: -4 5 |