Atkin-Lehner |
3+ 5+ 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
101175c |
Isogeny class |
Conductor |
101175 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
75762685546875 = 34 · 510 · 19 · 712 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 -2 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-204275,35448750] |
[a1,a2,a3,a4,a6] |
j |
60332686705985329/4848811875 |
j-invariant |
L |
2.3355496773675 |
L(r)(E,1)/r! |
Ω |
0.58388744577714 |
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 |
20235k2 |
Quadratic twists by: 5 |