Atkin-Lehner |
2+ 3+ 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
44850l |
Isogeny class |
Conductor |
44850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-37655701200000000 = -1 · 210 · 34 · 58 · 133 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 -3 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-42075,9892125] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:-3555:1] [135:-2655:1] |
Generators of the group modulo torsion |
j |
-21088815109465/96398595072 |
j-invariant |
L |
6.1443949103073 |
L(r)(E,1)/r! |
Ω |
0.31727811873127 |
Real period |
R |
0.80691494143975 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44850cd1 |
Quadratic twists by: 5 |