Atkin-Lehner |
2+ 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22542a |
Isogeny class |
Conductor |
22542 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
9986001946128 = 24 · 32 · 132 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5930,85764] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:467:1] |
Generators of the group modulo torsion |
j |
955671625/413712 |
j-invariant |
L |
3.4067037220256 |
L(r)(E,1)/r! |
Ω |
0.65345543049143 |
Real period |
R |
0.65167101746013 |
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 |
67626t1 1326c1 |
Quadratic twists by: -3 17 |