Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352ci |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-1169524675647111168 = -1 · 232 · 38 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11+ 6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-233292,-67736720] |
[a1,a2,a3,a4,a6] |
Generators |
[1140:33880:1] |
Generators of the group modulo torsion |
j |
-7347774183121/6119866368 |
j-invariant |
L |
5.147051822068 |
L(r)(E,1)/r! |
Ω |
0.10491440379741 |
Real period |
R |
4.0882945491502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352ee1 1386e1 14784bn1 |
Quadratic twists by: -4 8 -3 |