Atkin-Lehner |
2- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
44944b |
Isogeny class |
Conductor |
44944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3234816 |
Modular degree for the optimal curve |
Δ |
-8.0725534845549E+22 |
Discriminant |
Eigenvalues |
2- 1 0 4 0 5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12720088,22171672852] |
[a1,a2,a3,a4,a6] |
j |
-2507141976625/889192448 |
j-invariant |
L |
3.6735479017945 |
L(r)(E,1)/r! |
Ω |
0.10204299728241 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5618b1 848b1 |
Quadratic twists by: -4 53 |