Atkin-Lehner |
2+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
44992k |
Isogeny class |
Conductor |
44992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-872784330752 = -1 · 225 · 19 · 372 |
Discriminant |
Eigenvalues |
2+ -1 2 -1 0 5 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1217,-47423] |
[a1,a2,a3,a4,a6] |
j |
-761048497/3329408 |
j-invariant |
L |
1.4688613885651 |
L(r)(E,1)/r! |
Ω |
0.3672153471525 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44992bm1 1406f1 |
Quadratic twists by: -4 8 |