Atkin-Lehner |
2- 5+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
87100k |
Isogeny class |
Conductor |
87100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-14153750000 = -1 · 24 · 57 · 132 · 67 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 2 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1658,-26063] |
[a1,a2,a3,a4,a6] |
Generators |
[62:325:1] |
Generators of the group modulo torsion |
j |
-2017433344/56615 |
j-invariant |
L |
6.1822935326733 |
L(r)(E,1)/r! |
Ω |
0.37345046252269 |
Real period |
R |
0.68977171015905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999987089 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17420b1 |
Quadratic twists by: 5 |