Atkin-Lehner |
2+ 3+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
111936a |
Isogeny class |
Conductor |
111936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
250679328768 = 216 · 38 · 11 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11+ 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49857,-4268223] |
[a1,a2,a3,a4,a6] |
Generators |
[-1673213160:59870097:12977875] |
Generators of the group modulo torsion |
j |
209137022149828/3825063 |
j-invariant |
L |
7.4201592139364 |
L(r)(E,1)/r! |
Ω |
0.31949772474125 |
Real period |
R |
11.612225361595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000066726 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111936i4 13992c3 |
Quadratic twists by: -4 8 |