Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040o |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-4251746400000000 = -1 · 211 · 3 · 58 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9720,-3155568] |
[a1,a2,a3,a4,a6] |
Generators |
[224:2420:1] |
Generators of the group modulo torsion |
j |
-27995042/1171875 |
j-invariant |
L |
4.7420262230291 |
L(r)(E,1)/r! |
Ω |
0.19138346334125 |
Real period |
R |
0.77430054239027 |
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 |
14520v6 116160hs5 87120x5 240a6 |
Quadratic twists by: -4 8 -3 -11 |