Atkin-Lehner |
5- 11- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
20735q |
Isogeny class |
Conductor |
20735 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-2591875 = -1 · 54 · 11 · 13 · 29 |
Discriminant |
Eigenvalues |
1 2 5- -3 11- 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,33,44] |
[a1,a2,a3,a4,a6] |
Generators |
[8:26:1] |
Generators of the group modulo torsion |
j |
3789119879/2591875 |
j-invariant |
L |
8.3804561055625 |
L(r)(E,1)/r! |
Ω |
1.6175968146861 |
Real period |
R |
1.2952016271108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103675r1 |
Quadratic twists by: 5 |