Atkin-Lehner |
2+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44992h |
Isogeny class |
Conductor |
44992 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
854848 = 26 · 192 · 37 |
Discriminant |
Eigenvalues |
2+ -3 2 3 -3 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34,-62] |
[a1,a2,a3,a4,a6] |
Generators |
[9:19:1] |
Generators of the group modulo torsion |
j |
67917312/13357 |
j-invariant |
L |
4.1348534495371 |
L(r)(E,1)/r! |
Ω |
2.0042278580602 |
Real period |
R |
1.0315327753059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999914 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44992r1 22496n1 |
Quadratic twists by: -4 8 |