Atkin-Lehner |
2+ 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47190bi |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-2552035200 = -1 · 27 · 3 · 52 · 112 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 13- 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,52,-2422] |
[a1,a2,a3,a4,a6] |
Generators |
[44:270:1] |
Generators of the group modulo torsion |
j |
132098879/21091200 |
j-invariant |
L |
5.9534896449176 |
L(r)(E,1)/r! |
Ω |
0.68208443539334 |
Real period |
R |
1.4547293893015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47190cu1 |
Quadratic twists by: -11 |