Atkin-Lehner |
2- 7+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
125426m |
Isogeny class |
Conductor |
125426 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
10838016 |
Modular degree for the optimal curve |
Δ |
-2743816082364699776 = -1 · 27 · 73 · 1710 · 31 |
Discriminant |
Eigenvalues |
2- -3 -3 7+ 4 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5485419,-4944230853] |
[a1,a2,a3,a4,a6] |
j |
-756239798263546017/113674085504 |
j-invariant |
L |
1.3810882115269 |
L(r)(E,1)/r! |
Ω |
0.049324557420197 |
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 |
7378s1 |
Quadratic twists by: 17 |