Atkin-Lehner |
5+ 11+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
20735g |
Isogeny class |
Conductor |
20735 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-10748505625 = -1 · 54 · 112 · 132 · 292 |
Discriminant |
Eigenvalues |
-1 2 5+ 2 11+ 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,449,3574] |
[a1,a2,a3,a4,a6] |
Generators |
[58:449:1] |
Generators of the group modulo torsion |
j |
10009267147151/10748505625 |
j-invariant |
L |
4.7388063280949 |
L(r)(E,1)/r! |
Ω |
0.84934210038871 |
Real period |
R |
1.3948461773902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103675e2 |
Quadratic twists by: 5 |