Atkin-Lehner |
2- 41- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
112832bj |
Isogeny class |
Conductor |
112832 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-496240383940886528 = -1 · 248 · 41 · 43 |
Discriminant |
Eigenvalues |
2- 1 -2 3 -2 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,40831,33757055] |
[a1,a2,a3,a4,a6] |
Generators |
[-8839528199:33955867324:31855013] |
Generators of the group modulo torsion |
j |
28717273414367/1893006835712 |
j-invariant |
L |
7.6741471592893 |
L(r)(E,1)/r! |
Ω |
0.22450042537941 |
Real period |
R |
17.091609435519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999764189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112832p1 28208l1 |
Quadratic twists by: -4 8 |