Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29120w |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1304576000000000 = 220 · 59 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33854465,-75806667775] |
[a1,a2,a3,a4,a6] |
Generators |
[1946235:520768000:27] |
Generators of the group modulo torsion |
j |
16369358802802724130049/4976562500 |
j-invariant |
L |
8.7688003631029 |
L(r)(E,1)/r! |
Ω |
0.062588647214532 |
Real period |
R |
7.7834495137455 |
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 |
29120cd5 910j5 |
Quadratic twists by: -4 8 |