Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352ee |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
16 |
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] |
j |
-7347774183121/6119866368 |
j-invariant |
L |
1.0044937064345 |
L(r)(E,1)/r! |
Ω |
0.2511234265946 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352ci1 11088bk1 14784bs1 |
Quadratic twists by: -4 8 -3 |