Atkin-Lehner |
2- 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
21584b |
Isogeny class |
Conductor |
21584 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
-255322488832 = -1 · 219 · 193 · 71 |
Discriminant |
Eigenvalues |
2- -2 4 1 -4 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,584,23892] |
[a1,a2,a3,a4,a6] |
Generators |
[38:320:1] |
Generators of the group modulo torsion |
j |
5368567751/62334592 |
j-invariant |
L |
4.5955427958012 |
L(r)(E,1)/r! |
Ω |
0.72587907739536 |
Real period |
R |
1.5827508117093 |
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 |
2698b1 86336p1 |
Quadratic twists by: -4 8 |