Atkin-Lehner |
2+ 3+ 7- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
20706c |
Isogeny class |
Conductor |
20706 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-3863573952 = -1 · 26 · 3 · 74 · 172 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2219,-41283] |
[a1,a2,a3,a4,a6] |
Generators |
[61:204:1] |
Generators of the group modulo torsion |
j |
-1209209052196153/3863573952 |
j-invariant |
L |
4.2074340203941 |
L(r)(E,1)/r! |
Ω |
0.34771358839233 |
Real period |
R |
3.0250716112702 |
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 |
62118bu1 |
Quadratic twists by: -3 |