Atkin-Lehner |
2+ 3+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
47328d |
Isogeny class |
Conductor |
47328 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8959758336 = -1 · 212 · 32 · 172 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 0 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-609,7569] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:60:1] [0:87:1] |
Generators of the group modulo torsion |
j |
-6108415552/2187441 |
j-invariant |
L |
6.846195874081 |
L(r)(E,1)/r! |
Ω |
1.2252105014716 |
Real period |
R |
0.69847139184022 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47328v2 94656s1 |
Quadratic twists by: -4 8 |