Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360eo |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
274810798080 = 226 · 32 · 5 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-357826561,-2605176144479] |
[a1,a2,a3,a4,a6] |
Generators |
[-30049232309026370521260299736:29806583332385253303533:2751509249158916718258688] |
Generators of the group modulo torsion |
j |
19328649688935739391016961/1048320 |
j-invariant |
L |
5.3053030882064 |
L(r)(E,1)/r! |
Ω |
0.034712141777022 |
Real period |
R |
38.209275053361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999975937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360bx4 21840cl4 |
Quadratic twists by: -4 8 |