Atkin-Lehner |
2- 5+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
99280k |
Isogeny class |
Conductor |
99280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
249734471680 = 213 · 5 · 174 · 73 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 3 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4096,-96640] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:40:1] [184:-2312:1] |
Generators of the group modulo torsion |
j |
1855878893569/60970330 |
j-invariant |
L |
8.4416904583159 |
L(r)(E,1)/r! |
Ω |
0.59796418561846 |
Real period |
R |
1.7646730904856 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12410j1 |
Quadratic twists by: -4 |