Atkin-Lehner |
2+ 3- 5+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
31110f |
Isogeny class |
Conductor |
31110 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
289263633906960 = 24 · 320 · 5 · 17 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-443684,-113785774] |
[a1,a2,a3,a4,a6] |
Generators |
[-384:241:1] |
Generators of the group modulo torsion |
j |
9659254476258043603129/289263633906960 |
j-invariant |
L |
3.9369766990524 |
L(r)(E,1)/r! |
Ω |
0.18498308176547 |
Real period |
R |
2.1282901449571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93330bq4 |
Quadratic twists by: -3 |