Atkin-Lehner |
2+ 3- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
44286q |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-239272475112 = -1 · 23 · 32 · 114 · 613 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 11- -4 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5206,-146896] |
[a1,a2,a3,a4,a6] |
Generators |
[758:3307:8] [112:767:1] |
Generators of the group modulo torsion |
j |
-1065480579625/16342632 |
j-invariant |
L |
7.9330201535593 |
L(r)(E,1)/r! |
Ω |
0.28077449642926 |
Real period |
R |
4.7090104066 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44286bf2 |
Quadratic twists by: -11 |