Atkin-Lehner |
2+ 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650k |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13418496 |
Modular degree for the optimal curve |
Δ |
-3.117571876546E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -6 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,31204625,-52094046875] |
[a1,a2,a3,a4,a6] |
j |
215060458751101009927439/199524600098946662400 |
j-invariant |
L |
0.17490225431789 |
L(r)(E,1)/r! |
Ω |
0.043725564486562 |
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 |
11130bg1 |
Quadratic twists by: 5 |