Atkin-Lehner |
2- 5- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
41360m |
Isogeny class |
Conductor |
41360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28160 |
Modular degree for the optimal curve |
Δ |
-14092840960 = -1 · 212 · 5 · 114 · 47 |
Discriminant |
Eigenvalues |
2- -2 5- 2 11+ 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,155,5715] |
[a1,a2,a3,a4,a6] |
j |
99897344/3440635 |
j-invariant |
L |
1.8912921898022 |
L(r)(E,1)/r! |
Ω |
0.945646094942 |
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 |
2585b1 |
Quadratic twists by: -4 |