Atkin-Lehner |
2- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32110ba |
Isogeny class |
Conductor |
32110 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-27132950000 = -1 · 24 · 55 · 134 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- 2 1 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8200,285232] |
[a1,a2,a3,a4,a6] |
Generators |
[54:-2:1] |
Generators of the group modulo torsion |
j |
-2134986681841/950000 |
j-invariant |
L |
11.540501392515 |
L(r)(E,1)/r! |
Ω |
1.1677984798288 |
Real period |
R |
0.49411356461979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32110e1 |
Quadratic twists by: 13 |