Atkin-Lehner |
2+ 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
65472t |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1306484797145088 = 216 · 3 · 118 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27457,-215137] |
[a1,a2,a3,a4,a6] |
Generators |
[47374864117177219:3083867516782623780:11165826509551] |
Generators of the group modulo torsion |
j |
34931629871428/19935375933 |
j-invariant |
L |
9.1974145437054 |
L(r)(E,1)/r! |
Ω |
0.40142927073501 |
Real period |
R |
22.911668914138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472bt3 8184d4 |
Quadratic twists by: -4 8 |