Atkin-Lehner |
2- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44992w |
Isogeny class |
Conductor |
44992 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
854848 = 26 · 192 · 37 |
Discriminant |
Eigenvalues |
2- -1 2 1 -5 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-947,-10907] |
[a1,a2,a3,a4,a6] |
Generators |
[36:19:1] [-1116:19:64] |
Generators of the group modulo torsion |
j |
1469102828032/13357 |
j-invariant |
L |
8.6243793514532 |
L(r)(E,1)/r! |
Ω |
0.86054599331519 |
Real period |
R |
5.0109926828133 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44992be1 22496l1 |
Quadratic twists by: -4 8 |