Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
57222bw |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-433188510031670976 = -1 · 26 · 36 · 113 · 178 |
Discriminant |
Eigenvalues |
2- 3- -3 2 11- 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,183316,-9538513] |
[a1,a2,a3,a4,a6] |
Generators |
[303174:1944793:5832] |
Generators of the group modulo torsion |
j |
133970183/85184 |
j-invariant |
L |
8.2875800228565 |
L(r)(E,1)/r! |
Ω |
0.17085610022145 |
Real period |
R |
8.0843665244329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000125 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
6358b2 57222bm2 |
Quadratic twists by: -3 17 |