Atkin-Lehner |
2- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44992bj |
Isogeny class |
Conductor |
44992 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
8719917482246144 = 235 · 193 · 37 |
Discriminant |
Eigenvalues |
2- 2 1 0 -1 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133665,18309569] |
[a1,a2,a3,a4,a6] |
Generators |
[4105:466944:125] |
Generators of the group modulo torsion |
j |
1007488615738249/33263845376 |
j-invariant |
L |
9.8925476391866 |
L(r)(E,1)/r! |
Ω |
0.40987634361891 |
Real period |
R |
2.0112870205029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44992g1 11248l1 |
Quadratic twists by: -4 8 |