Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
71232dj |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5404094889984 = 219 · 34 · 74 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36769,2699231] |
[a1,a2,a3,a4,a6] |
Generators |
[-139:2268:1] |
Generators of the group modulo torsion |
j |
20972058349033/20614986 |
j-invariant |
L |
7.1487163248079 |
L(r)(E,1)/r! |
Ω |
0.75902719097692 |
Real period |
R |
2.3545652940754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000381 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
71232h4 17808q3 |
Quadratic twists by: -4 8 |