Atkin-Lehner |
2+ 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
32320i |
Isogeny class |
Conductor |
32320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
132382720 = 218 · 5 · 101 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 2 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-652,6384] |
[a1,a2,a3,a4,a6] |
Generators |
[5:57:1] |
Generators of the group modulo torsion |
j |
116930169/505 |
j-invariant |
L |
5.3868359438586 |
L(r)(E,1)/r! |
Ω |
1.8574332717225 |
Real period |
R |
2.9001504527067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32320t1 505a1 |
Quadratic twists by: -4 8 |