Atkin-Lehner |
2+ 3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890bd |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
25288704 |
Modular degree for the optimal curve |
Δ |
7.0049436631303E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 -2 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-107736750,-430206125000] |
[a1,a2,a3,a4,a6] |
Generators |
[-5892:5788:1] |
Generators of the group modulo torsion |
j |
32908150684150663201/16668357187500 |
j-invariant |
L |
3.9991765900593 |
L(r)(E,1)/r! |
Ω |
0.046862104659282 |
Real period |
R |
2.3705345409456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42630co1 127890cw1 |
Quadratic twists by: -3 -7 |