Atkin-Lehner |
2+ 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120640c |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-2470707200000 = -1 · 221 · 55 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ -1 5+ 4 -4 13+ 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34401,-2445599] |
[a1,a2,a3,a4,a6] |
Generators |
[94255:1016128:343] |
Generators of the group modulo torsion |
j |
-17175508997401/9425000 |
j-invariant |
L |
5.0736077271128 |
L(r)(E,1)/r! |
Ω |
0.17527155756947 |
Real period |
R |
7.2367812840331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034186 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120640bu1 3770c1 |
Quadratic twists by: -4 8 |