Atkin-Lehner |
2- 3- 5+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
120510z |
Isogeny class |
Conductor |
120510 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
6048000 |
Modular degree for the optimal curve |
Δ |
-12426928534800000 = -1 · 27 · 37 · 55 · 13 · 1033 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 13+ -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17314853,-27727360419] |
[a1,a2,a3,a4,a6] |
Generators |
[255683:129141120:1] |
Generators of the group modulo torsion |
j |
-787503670622872521432841/17046541200000 |
j-invariant |
L |
10.46260259115 |
L(r)(E,1)/r! |
Ω |
0.037005379144806 |
Real period |
R |
10.097569303495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999394793 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40170e1 |
Quadratic twists by: -3 |