Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576bg |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-42574174055424 = -1 · 210 · 310 · 113 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11+ -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5677,352595] |
[a1,a2,a3,a4,a6] |
Generators |
[11:540:1] |
Generators of the group modulo torsion |
j |
-19763185027072/41576341851 |
j-invariant |
L |
9.5167456757112 |
L(r)(E,1)/r! |
Ω |
0.57113497405938 |
Real period |
R |
1.6662866236439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48576cp1 6072e1 |
Quadratic twists by: -4 8 |