Atkin-Lehner |
11- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
109021o |
Isogeny class |
Conductor |
109021 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6186240 |
Modular degree for the optimal curve |
Δ |
817212226586004469 = 1112 · 173 · 53 |
Discriminant |
Eigenvalues |
-2 -3 -3 4 11- -3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1004179,-384865638] |
[a1,a2,a3,a4,a6] |
Generators |
[-550:1028:1] |
Generators of the group modulo torsion |
j |
63212214608990208/461294997229 |
j-invariant |
L |
1.4431604342899 |
L(r)(E,1)/r! |
Ω |
0.15088213228425 |
Real period |
R |
1.5941366169672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000296345 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9911b1 |
Quadratic twists by: -11 |