Atkin-Lehner |
2+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29120o |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
605696000000 = 215 · 56 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 0 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2465,27775] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:-200:1] [-30:275:1] |
Generators of the group modulo torsion |
j |
50570904392/18484375 |
j-invariant |
L |
6.2942838365663 |
L(r)(E,1)/r! |
Ω |
0.83790245258128 |
Real period |
R |
0.62599608275564 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29120y2 14560a2 |
Quadratic twists by: -4 8 |