Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
74592bs |
Isogeny class |
Conductor |
74592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-85844054016 = -1 · 212 · 37 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,564,-13120] |
[a1,a2,a3,a4,a6] |
Generators |
[52:396:1] |
Generators of the group modulo torsion |
j |
6644672/28749 |
j-invariant |
L |
5.3269965648982 |
L(r)(E,1)/r! |
Ω |
0.5447188771109 |
Real period |
R |
2.4448375058798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002276 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74592bj2 24864h2 |
Quadratic twists by: -4 -3 |