Atkin-Lehner |
2- 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
110946bo |
Isogeny class |
Conductor |
110946 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
691706594304 = 210 · 34 · 112 · 413 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11- 2 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8809,314969] |
[a1,a2,a3,a4,a6] |
Generators |
[74:-301:1] [-70:803:1] |
Generators of the group modulo torsion |
j |
1096869734297/10036224 |
j-invariant |
L |
17.588377762107 |
L(r)(E,1)/r! |
Ω |
0.90990373069421 |
Real period |
R |
0.4832483143486 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994362 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110946u1 |
Quadratic twists by: 41 |