Atkin-Lehner |
2- 5- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
122200bi |
Isogeny class |
Conductor |
122200 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
410093118500000000 = 28 · 59 · 135 · 472 |
Discriminant |
Eigenvalues |
2- -2 5- 4 2 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-247526708,1498847013088] |
[a1,a2,a3,a4,a6] |
Generators |
[9082:182:1] |
Generators of the group modulo torsion |
j |
3354439066959404715536/820186237 |
j-invariant |
L |
6.1043552213624 |
L(r)(E,1)/r! |
Ω |
0.17591535363337 |
Real period |
R |
1.7350262526516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000139891 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122200k2 |
Quadratic twists by: 5 |