Atkin-Lehner |
3+ 7- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
11193c |
Isogeny class |
Conductor |
11193 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-55029366557842131 = -1 · 32 · 73 · 139 · 412 |
Discriminant |
Eigenvalues |
0 3+ 1 7- 2 13- 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,48145,10512494] |
[a1,a2,a3,a4,a6] |
Generators |
[218:5596:1] |
Generators of the group modulo torsion |
j |
12341509011613712384/55029366557842131 |
j-invariant |
L |
3.6892128022457 |
L(r)(E,1)/r! |
Ω |
0.25322361320121 |
Real period |
R |
0.13489807434123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33579i1 78351m1 |
Quadratic twists by: -3 -7 |