Atkin-Lehner |
2+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
44890f |
Isogeny class |
Conductor |
44890 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1364352 |
Modular degree for the optimal curve |
Δ |
-1.5887791830658E+19 |
Discriminant |
Eigenvalues |
2+ 2 5- -1 3 4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,197423,188860821] |
[a1,a2,a3,a4,a6] |
Generators |
[-2505766884195:-23629425777111:5725732069] |
Generators of the group modulo torsion |
j |
9407293631/175636480 |
j-invariant |
L |
7.1711534435354 |
L(r)(E,1)/r! |
Ω |
0.16452450779389 |
Real period |
R |
21.793572093584 |
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 |
670d1 |
Quadratic twists by: -67 |