Atkin-Lehner |
2- 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
112200bq |
Isogeny class |
Conductor |
112200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-10996722000000000 = -1 · 210 · 35 · 59 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- 7 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,50592,-2521188] |
[a1,a2,a3,a4,a6] |
j |
895036383644/687295125 |
j-invariant |
L |
2.7070204104213 |
L(r)(E,1)/r! |
Ω |
0.22558501638146 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22440i1 |
Quadratic twists by: 5 |