Atkin-Lehner |
2- 3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
38064bg |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
606178639872 = 220 · 36 · 13 · 61 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-192784,-32644588] |
[a1,a2,a3,a4,a6] |
Generators |
[3842:236544:1] |
Generators of the group modulo torsion |
j |
193454563071992977/147992832 |
j-invariant |
L |
6.3289083980243 |
L(r)(E,1)/r! |
Ω |
0.2278408751574 |
Real period |
R |
4.6296261178267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4758g1 114192cb1 |
Quadratic twists by: -4 -3 |