Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520fl |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1506727526400 = -1 · 215 · 37 · 52 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,59312] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:200:1] [14:-232:1] |
Generators of the group modulo torsion |
j |
-941192/63075 |
j-invariant |
L |
9.029480420717 |
L(r)(E,1)/r! |
Ω |
0.70078242723098 |
Real period |
R |
1.6106069569351 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999428 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520fj2 41760r2 27840db2 |
Quadratic twists by: -4 8 -3 |