Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360eo |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5.3045415635337E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2124801,-110816495199] |
[a1,a2,a3,a4,a6] |
Generators |
[17296993761336916:-2762974691380938125:671300945216] |
Generators of the group modulo torsion |
j |
-4047051964543660801/20235220197806250000 |
j-invariant |
L |
5.3053030882064 |
L(r)(E,1)/r! |
Ω |
0.034712141777022 |
Real period |
R |
19.104637526678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939856 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360bx5 21840cl5 |
Quadratic twists by: -4 8 |