Atkin-Lehner |
2- 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
112832bo |
Isogeny class |
Conductor |
112832 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
4126464 |
Modular degree for the optimal curve |
Δ |
-4.6128900272752E+20 |
Discriminant |
Eigenvalues |
2- -2 3 0 -1 -1 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1377569,-1206729857] |
[a1,a2,a3,a4,a6] |
Generators |
[2371:94136:1] [32506:5856809:1] |
Generators of the group modulo torsion |
j |
-8822957266824929864/14077423178940323 |
j-invariant |
L |
10.090545362933 |
L(r)(E,1)/r! |
Ω |
0.066005985547542 |
Real period |
R |
4.2464774120935 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112832bl1 56416j1 |
Quadratic twists by: -4 8 |