Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
8800z |
Isogeny class |
Conductor |
8800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
605000000 = 26 · 57 · 112 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 11- -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-258,-988] |
[a1,a2,a3,a4,a6] |
Generators |
[32:150:1] |
Generators of the group modulo torsion |
j |
1906624/605 |
j-invariant |
L |
6.5312288998019 |
L(r)(E,1)/r! |
Ω |
1.2206433819319 |
Real period |
R |
1.337661145851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8800t1 17600by2 79200be1 1760h1 |
Quadratic twists by: -4 8 -3 5 |