Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400cl |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
772748083200000000 = 227 · 3 · 58 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 3 2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-265208,31308912] |
[a1,a2,a3,a4,a6] |
Generators |
[-11148:226304:27] |
Generators of the group modulo torsion |
j |
1289333385625/482967552 |
j-invariant |
L |
5.0228797300216 |
L(r)(E,1)/r! |
Ω |
0.25913865637415 |
Real period |
R |
4.845745324435 |
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 |
2550n2 81600je2 61200hf2 20400di2 |
Quadratic twists by: -4 8 -3 5 |