Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
11280bd |
Isogeny class |
Conductor |
11280 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-1136764108800 = -1 · 214 · 310 · 52 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 2 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2200,64148] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:270:1] |
Generators of the group modulo torsion |
j |
-287626699801/277530300 |
j-invariant |
L |
5.3649083637083 |
L(r)(E,1)/r! |
Ω |
0.79211575060111 |
Real period |
R |
0.33864421706279 |
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 |
1410c1 45120bz1 33840bv1 56400bm1 |
Quadratic twists by: -4 8 -3 5 |