Atkin-Lehner |
2- 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
112832be |
Isogeny class |
Conductor |
112832 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-208626368 = -1 · 26 · 41 · 433 |
Discriminant |
Eigenvalues |
2- -1 -4 -3 0 -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,125,401] |
[a1,a2,a3,a4,a6] |
Generators |
[8:43:1] |
Generators of the group modulo torsion |
j |
3348071936/3259787 |
j-invariant |
L |
1.2362192128692 |
L(r)(E,1)/r! |
Ω |
1.1696740369354 |
Real period |
R |
0.35229734624681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000285635 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112832u1 56416d1 |
Quadratic twists by: -4 8 |