Atkin-Lehner |
2- 3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
44880bh |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
297007998566400 = 222 · 34 · 52 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-84576,-9402624] |
[a1,a2,a3,a4,a6] |
Generators |
[674:15470:1] |
Generators of the group modulo torsion |
j |
16334668434139489/72511718400 |
j-invariant |
L |
5.1809481975357 |
L(r)(E,1)/r! |
Ω |
0.28002921387121 |
Real period |
R |
4.6253640164019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5610bj2 |
Quadratic twists by: -4 |