Atkin-Lehner |
3- 5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
47175h |
Isogeny class |
Conductor |
47175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
302464482793359375 = 3 · 58 · 178 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-413501,98829773] |
[a1,a2,a3,a4,a6] |
j |
500416785533568961/19357726898775 |
j-invariant |
L |
0.60855378646383 |
L(r)(E,1)/r! |
Ω |
0.30427689313211 |
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 |
9435e4 |
Quadratic twists by: 5 |