Atkin-Lehner |
2- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
23600p |
Isogeny class |
Conductor |
23600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9440000000000 = 214 · 510 · 59 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-503675,-137585750] |
[a1,a2,a3,a4,a6] |
Generators |
[10372504590:739511183125:2000376] |
Generators of the group modulo torsion |
j |
220797892346121/147500 |
j-invariant |
L |
5.4061605126651 |
L(r)(E,1)/r! |
Ω |
0.17920989001976 |
Real period |
R |
15.083320770045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2950k4 94400bq4 4720e3 |
Quadratic twists by: -4 8 5 |