Atkin-Lehner |
2+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
22496d |
Isogeny class |
Conductor |
22496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
54710272 = 212 · 192 · 37 |
Discriminant |
Eigenvalues |
2+ -3 -2 -3 -3 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-136,496] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:20:1] [1:19:1] |
Generators of the group modulo torsion |
j |
67917312/13357 |
j-invariant |
L |
3.9978975876463 |
L(r)(E,1)/r! |
Ω |
1.8867471723263 |
Real period |
R |
0.52973414327665 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22496n1 44992r1 |
Quadratic twists by: -4 8 |