Atkin-Lehner |
2+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44992c |
Isogeny class |
Conductor |
44992 |
Conductor |
∏ cp |
8 |
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 -2 1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4897,-140993] |
[a1,a2,a3,a4,a6] |
Generators |
[17553:445184:27] |
Generators of the group modulo torsion |
j |
-49552182217/3329408 |
j-invariant |
L |
8.2723564825231 |
L(r)(E,1)/r! |
Ω |
0.28424894831783 |
Real period |
R |
3.637813143849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999954 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44992bh1 1406b1 |
Quadratic twists by: -4 8 |