Atkin-Lehner |
2- 3- 5- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450co |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-293664096000 = -1 · 28 · 33 · 53 · 112 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1073,-29463] |
[a1,a2,a3,a4,a6] |
Generators |
[82:-701:1] |
Generators of the group modulo torsion |
j |
-1093045300901/2349312768 |
j-invariant |
L |
11.550246112996 |
L(r)(E,1)/r! |
Ω |
0.39082191969669 |
Real period |
R |
0.6157027413339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87450j1 |
Quadratic twists by: 5 |