Atkin-Lehner |
5+ 11+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
20735c |
Isogeny class |
Conductor |
20735 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4672 |
Modular degree for the optimal curve |
Δ |
228085 = 5 · 112 · 13 · 29 |
Discriminant |
Eigenvalues |
-2 -1 5+ -5 11+ 13+ -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-16,16] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:0:1] [-1:5:1] |
Generators of the group modulo torsion |
j |
481890304/228085 |
j-invariant |
L |
2.5908967527813 |
L(r)(E,1)/r! |
Ω |
2.8026658888727 |
Real period |
R |
0.46222005324801 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103675m1 |
Quadratic twists by: 5 |