Atkin-Lehner |
5+ 11+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
20735f |
Isogeny class |
Conductor |
20735 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-306988069155625 = -1 · 54 · 112 · 136 · 292 |
Discriminant |
Eigenvalues |
1 -2 5+ -2 11+ 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-32539,-2414013] |
[a1,a2,a3,a4,a6] |
Generators |
[291:3429:1] |
Generators of the group modulo torsion |
j |
-3809931185510043049/306988069155625 |
j-invariant |
L |
2.2022155954804 |
L(r)(E,1)/r! |
Ω |
0.17691719682106 |
Real period |
R |
1.0373099370077 |
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 |
103675f2 |
Quadratic twists by: 5 |