Atkin-Lehner |
2+ 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
44880p |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
Δ |
217470329723750400 = 211 · 310 · 52 · 114 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- -4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-160616,10456020] |
[a1,a2,a3,a4,a6] |
Generators |
[-428:990:1] [-374:4284:1] |
Generators of the group modulo torsion |
j |
223749916389606098/106186684435425 |
j-invariant |
L |
10.009900693346 |
L(r)(E,1)/r! |
Ω |
0.28128590479191 |
Real period |
R |
0.14827589596594 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22440d2 |
Quadratic twists by: -4 |