Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67320m |
Isogeny class |
Conductor |
67320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
60090963424081920 = 211 · 322 · 5 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-378723,-88929218] |
[a1,a2,a3,a4,a6] |
Generators |
[-10266:8596:27] |
Generators of the group modulo torsion |
j |
4023752633231042/40248684135 |
j-invariant |
L |
5.9229441628658 |
L(r)(E,1)/r! |
Ω |
0.1925668160291 |
Real period |
R |
7.6894662915039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22440x3 |
Quadratic twists by: -3 |