Atkin-Lehner |
5- 11- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
20735r |
Isogeny class |
Conductor |
20735 |
Conductor |
∏ cp |
250 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
2879666161014053125 = 55 · 112 · 135 · 295 |
Discriminant |
Eigenvalues |
-2 -1 5- 3 11- 13- 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-417950,-64282692] |
[a1,a2,a3,a4,a6] |
Generators |
[-541:1787:1] |
Generators of the group modulo torsion |
j |
8074167225814442192896/2879666161014053125 |
j-invariant |
L |
2.6273663504719 |
L(r)(E,1)/r! |
Ω |
0.19331048666417 |
Real period |
R |
1.3591432083229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
103675s1 |
Quadratic twists by: 5 |