Atkin-Lehner |
2- 3- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
19422v |
Isogeny class |
Conductor |
19422 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-1963331136 = -1 · 26 · 37 · 132 · 83 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 -5 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1094,14357] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:133:1] [-9:157:1] |
Generators of the group modulo torsion |
j |
-198461344537/2693184 |
j-invariant |
L |
8.6107294385009 |
L(r)(E,1)/r! |
Ω |
1.4809728392923 |
Real period |
R |
0.12112997070305 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6474j1 |
Quadratic twists by: -3 |