Atkin-Lehner |
2+ 3- 5- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
71370k |
Isogeny class |
Conductor |
71370 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
30908645196624000 = 27 · 38 · 53 · 136 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-46846764,-123403164080] |
[a1,a2,a3,a4,a6] |
j |
15596781192321910867124929/42398690256000 |
j-invariant |
L |
1.3849716663213 |
L(r)(E,1)/r! |
Ω |
0.057707153840369 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23790k2 |
Quadratic twists by: -3 |