Atkin-Lehner |
3- 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
7755g |
Isogeny class |
Conductor |
7755 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25792 |
Modular degree for the optimal curve |
Δ |
-562313232421875 = -1 · 34 · 513 · 112 · 47 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 11- 3 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-22561,-1740434] |
[a1,a2,a3,a4,a6] |
j |
-1270041751836688384/562313232421875 |
j-invariant |
L |
1.5254416340429 |
L(r)(E,1)/r! |
Ω |
0.19068020425536 |
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 |
124080z1 23265p1 38775b1 85305v1 |
Quadratic twists by: -4 -3 5 -11 |