Atkin-Lehner |
2+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22984b |
Isogeny class |
Conductor |
22984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
4103869473047552 = 210 · 138 · 173 |
Discriminant |
Eigenvalues |
2+ -2 -2 -2 -4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-282624,57654832] |
[a1,a2,a3,a4,a6] |
Generators |
[147:4394:1] |
Generators of the group modulo torsion |
j |
505117359652/830297 |
j-invariant |
L |
1.6864034912595 |
L(r)(E,1)/r! |
Ω |
0.43891068329299 |
Real period |
R |
1.9211237678325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45968a1 1768b1 |
Quadratic twists by: -4 13 |