Atkin-Lehner |
2+ 3- 5- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
84870t |
Isogeny class |
Conductor |
84870 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
11415057435000 = 23 · 310 · 54 · 23 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 2 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5520069,4993268733] |
[a1,a2,a3,a4,a6] |
Generators |
[1357:-661:1] |
Generators of the group modulo torsion |
j |
25517007847980989763409/15658515000 |
j-invariant |
L |
6.3334257304261 |
L(r)(E,1)/r! |
Ω |
0.4407972293157 |
Real period |
R |
1.7960145028115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956186 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28290s2 |
Quadratic twists by: -3 |