Atkin-Lehner |
2- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
22496h |
Isogeny class |
Conductor |
22496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
54710272 = 212 · 192 · 37 |
Discriminant |
Eigenvalues |
2- -1 -2 -1 -5 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3789,91045] |
[a1,a2,a3,a4,a6] |
Generators |
[43:76:1] |
Generators of the group modulo torsion |
j |
1469102828032/13357 |
j-invariant |
L |
2.6578393960271 |
L(r)(E,1)/r! |
Ω |
1.7931777952285 |
Real period |
R |
0.37054878259971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22496l1 44992be1 |
Quadratic twists by: -4 8 |