Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
87362bm |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1008000 |
Modular degree for the optimal curve |
Δ |
-50673545978066528 = -1 · 25 · 116 · 197 |
Discriminant |
Eigenvalues |
2- 1 -4 -3 11- -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-910,10830436] |
[a1,a2,a3,a4,a6] |
Generators |
[-210:1436:1] [-198:1904:1] |
Generators of the group modulo torsion |
j |
-1/608 |
j-invariant |
L |
13.505057544887 |
L(r)(E,1)/r! |
Ω |
0.28334202692167 |
Real period |
R |
1.1915861628098 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
722c1 4598k1 |
Quadratic twists by: -11 -19 |