Atkin-Lehner |
2+ 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22440a |
Isogeny class |
Conductor |
22440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
155105280 = 211 · 34 · 5 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39896,-3053940] |
[a1,a2,a3,a4,a6] |
Generators |
[285:2940:1] |
Generators of the group modulo torsion |
j |
3429199178959538/75735 |
j-invariant |
L |
4.0478735914504 |
L(r)(E,1)/r! |
Ω |
0.33780518345038 |
Real period |
R |
5.9914320291137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44880m4 67320bn4 112200cc4 |
Quadratic twists by: -4 -3 5 |