Atkin-Lehner |
3- 5+ 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
57285a |
Isogeny class |
Conductor |
57285 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1322424225 = 37 · 52 · 192 · 67 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 -4 6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9630,366151] |
[a1,a2,a3,a4,a6] |
j |
135487869158881/1814025 |
j-invariant |
L |
2.7810655836565 |
L(r)(E,1)/r! |
Ω |
1.3905327935833 |
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 |
19095c2 |
Quadratic twists by: -3 |