Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222h |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-41735614450499442 = -1 · 2 · 310 · 114 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11+ -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31266,10064574] |
[a1,a2,a3,a4,a6] |
j |
-192100033/2371842 |
j-invariant |
L |
2.4578384937656 |
L(r)(E,1)/r! |
Ω |
0.30722981164528 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19074bh4 198a4 |
Quadratic twists by: -3 17 |