Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222bh |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3104301901276818 = -1 · 2 · 312 · 112 · 176 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11+ -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11650,-2639505] |
[a1,a2,a3,a4,a6] |
Generators |
[1150:10707:8] |
Generators of the group modulo torsion |
j |
9938375/176418 |
j-invariant |
L |
8.0683813567192 |
L(r)(E,1)/r! |
Ω |
0.21893661653294 |
Real period |
R |
4.606573745168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19074b2 198b2 |
Quadratic twists by: -3 17 |