Atkin-Lehner |
2- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98800bq |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1048320 |
Modular degree for the optimal curve |
Δ |
-415821725696000000 = -1 · 225 · 56 · 133 · 192 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 4 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-400408,-102204688] |
[a1,a2,a3,a4,a6] |
Generators |
[75396:3870208:27] |
Generators of the group modulo torsion |
j |
-110931033861649/6497214464 |
j-invariant |
L |
5.0061919330808 |
L(r)(E,1)/r! |
Ω |
0.094573881226214 |
Real period |
R |
6.6167739449708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999975434 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12350a1 3952j1 |
Quadratic twists by: -4 5 |