Atkin-Lehner |
3- 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
57525g |
Isogeny class |
Conductor |
57525 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-5636554587421875 = -1 · 313 · 57 · 13 · 592 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 -3 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-50383,5639644] |
[a1,a2,a3,a4,a6] |
Generators |
[-2006:12821:8] [-232:2212:1] |
Generators of the group modulo torsion |
j |
-905241335136256/360739493595 |
j-invariant |
L |
9.5543312677181 |
L(r)(E,1)/r! |
Ω |
0.40133760337267 |
Real period |
R |
0.22890596124059 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999879 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11505b1 |
Quadratic twists by: 5 |