Atkin-Lehner |
2- 5- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
99280s |
Isogeny class |
Conductor |
99280 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
969408 |
Modular degree for the optimal curve |
Δ |
177293618878074880 = 212 · 5 · 179 · 73 |
Discriminant |
Eigenvalues |
2- 1 5- 0 0 -3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1034005,-404536445] |
[a1,a2,a3,a4,a6] |
Generators |
[-503234986463290592346706100974674:161547426035883833223925324550123:833618292249719168071799981257] |
Generators of the group modulo torsion |
j |
29849159085774340096/43284574921405 |
j-invariant |
L |
7.7012083054278 |
L(r)(E,1)/r! |
Ω |
0.14972926103518 |
Real period |
R |
51.43422369271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6205c1 |
Quadratic twists by: -4 |