Atkin-Lehner |
2- 53- |
Signs for the Atkin-Lehner involutions |
Class |
44944l |
Isogeny class |
Conductor |
44944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6746688 |
Modular degree for the optimal curve |
Δ |
-1.7715470889152E+24 |
Discriminant |
Eigenvalues |
2- 2 1 4 -1 -4 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14540320,67504697088] |
[a1,a2,a3,a4,a6] |
Generators |
[-2415969526947838111235667:-405468666554230216662906682:1369462594434067731177] |
Generators of the group modulo torsion |
j |
-25153757/131072 |
j-invariant |
L |
10.253398349646 |
L(r)(E,1)/r! |
Ω |
0.072537848509583 |
Real period |
R |
35.338097835542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5618j1 44944m1 |
Quadratic twists by: -4 53 |