Atkin-Lehner |
3- 7+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
19383b |
Isogeny class |
Conductor |
19383 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-49538819421 = -1 · 32 · 7 · 133 · 713 |
Discriminant |
Eigenvalues |
-1 3- 1 7+ -2 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,220,10653] |
[a1,a2,a3,a4,a6] |
Generators |
[3:105:1] |
Generators of the group modulo torsion |
j |
1177249106879/49538819421 |
j-invariant |
L |
3.7180696264262 |
L(r)(E,1)/r! |
Ω |
0.8544605568992 |
Real period |
R |
0.72522747371725 |
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 |
58149c1 |
Quadratic twists by: -3 |