Atkin-Lehner |
2- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
40678y |
Isogeny class |
Conductor |
40678 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
102144 |
Modular degree for the optimal curve |
Δ |
57274624 = 28 · 112 · 432 |
Discriminant |
Eigenvalues |
2- -1 1 3 11- 1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-161095,-24954051] |
[a1,a2,a3,a4,a6] |
j |
250053623928738169/30976 |
j-invariant |
L |
3.8128437473621 |
L(r)(E,1)/r! |
Ω |
0.23830273421778 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40678i1 |
Quadratic twists by: -43 |