Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100920m |
Isogeny class |
Conductor |
100920 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
5215170284391121920 = 210 · 310 · 5 · 297 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-585616,-133165840] |
[a1,a2,a3,a4,a6] |
j |
36464923876/8562105 |
j-invariant |
L |
3.5102174903738 |
L(r)(E,1)/r! |
Ω |
0.17551086862377 |
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 |
3480o1 |
Quadratic twists by: 29 |