Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520ge |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
897801781248000 = 222 · 310 · 53 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50412,4111184] |
[a1,a2,a3,a4,a6] |
Generators |
[208:1620:1] |
Generators of the group modulo torsion |
j |
74140932601/4698000 |
j-invariant |
L |
8.0983602780618 |
L(r)(E,1)/r! |
Ω |
0.48962808208946 |
Real period |
R |
1.3783183222072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984306 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520ct1 20880br1 27840cf1 |
Quadratic twists by: -4 8 -3 |