Atkin-Lehner |
2+ 5- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
88330m |
Isogeny class |
Conductor |
88330 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
3110400 |
Modular degree for the optimal curve |
Δ |
-1.9633598820842E+20 |
Discriminant |
Eigenvalues |
2+ 1 5- 1 11- 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-301898,677143828] |
[a1,a2,a3,a4,a6] |
Generators |
[3904:240955:1] |
Generators of the group modulo torsion |
j |
-1717695749908081/110826546875000 |
j-invariant |
L |
6.6808928744553 |
L(r)(E,1)/r! |
Ω |
0.14775595892989 |
Real period |
R |
0.62799618753255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999912376 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8030j1 |
Quadratic twists by: -11 |