Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
87362y |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
174240 |
Modular degree for the optimal curve |
Δ |
-11762300518232 = -1 · 23 · 118 · 193 |
Discriminant |
Eigenvalues |
2- 1 2 -4 11- -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3688,-140392] |
[a1,a2,a3,a4,a6] |
Generators |
[1722:15232:27] |
Generators of the group modulo torsion |
j |
3773/8 |
j-invariant |
L |
11.719717614584 |
L(r)(E,1)/r! |
Ω |
0.37184501737091 |
Real period |
R |
1.7509860087574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002915 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87362d1 87362e1 |
Quadratic twists by: -11 -19 |