Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
29120i |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
83492864000 = 220 · 53 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 2 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1868,-27792] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:29:1] |
Generators of the group modulo torsion |
j |
2749884201/318500 |
j-invariant |
L |
4.9845023787518 |
L(r)(E,1)/r! |
Ω |
0.73168273101102 |
Real period |
R |
3.4061910767419 |
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 |
29120bn1 910d1 |
Quadratic twists by: -4 8 |