Atkin-Lehner |
2- 11- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107822q |
Isogeny class |
Conductor |
107822 |
Conductor |
∏ cp |
184 |
Product of Tamagawa factors cp |
deg |
1033344 |
Modular degree for the optimal curve |
Δ |
-1875432005697536 = -1 · 223 · 112 · 133 · 292 |
Discriminant |
Eigenvalues |
2- -3 1 -1 11- 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9003,2055213] |
[a1,a2,a3,a4,a6] |
Generators |
[127:2224:1] [-93:684:1] |
Generators of the group modulo torsion |
j |
36736741199907/853633138688 |
j-invariant |
L |
11.45204050942 |
L(r)(E,1)/r! |
Ω |
0.3511840511054 |
Real period |
R |
0.17722715595356 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000163 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107822f1 |
Quadratic twists by: 13 |