Atkin-Lehner |
2+ 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
67320k |
Isogeny class |
Conductor |
67320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6218946201600 = 211 · 310 · 52 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5043,-67858] |
[a1,a2,a3,a4,a6] |
Generators |
[118:990:1] |
Generators of the group modulo torsion |
j |
9500208482/4165425 |
j-invariant |
L |
6.4660230410912 |
L(r)(E,1)/r! |
Ω |
0.58980538933773 |
Real period |
R |
2.7407443024937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991668 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22440r2 |
Quadratic twists by: -3 |