Atkin-Lehner |
2+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
115150c |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-18703716694468750 = -1 · 2 · 56 · 78 · 473 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 3 1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-78425,-10745125] |
[a1,a2,a3,a4,a6] |
j |
-592231633/207646 |
j-invariant |
L |
3.7846145280983 |
L(r)(E,1)/r! |
Ω |
0.14017090702229 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4606h2 115150j2 |
Quadratic twists by: 5 -7 |