Atkin-Lehner |
2- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
29120bn |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-9691136000000 = -1 · 219 · 56 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -2 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2612,140688] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:156:1] |
Generators of the group modulo torsion |
j |
7518017079/36968750 |
j-invariant |
L |
3.8610450782849 |
L(r)(E,1)/r! |
Ω |
0.52228886145244 |
Real period |
R |
3.6962736171969 |
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 |
29120i2 7280t2 |
Quadratic twists by: -4 8 |