Atkin-Lehner |
3- 5- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
126825ba |
Isogeny class |
Conductor |
126825 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
166882042125 = 37 · 53 · 193 · 89 |
Discriminant |
Eigenvalues |
0 3- 5- -3 -4 4 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4443,-113776] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:-29:1] [-326:281:8] |
Generators of the group modulo torsion |
j |
77614056636416/1335056337 |
j-invariant |
L |
10.822157024904 |
L(r)(E,1)/r! |
Ω |
0.58536333527411 |
Real period |
R |
0.44018883649382 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999951261 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126825i1 |
Quadratic twists by: 5 |