Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360fa |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
95732917862400 = 220 · 32 · 52 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31585,-2098175] |
[a1,a2,a3,a4,a6] |
Generators |
[397:6912:1] |
Generators of the group modulo torsion |
j |
13293525831769/365192100 |
j-invariant |
L |
4.6444887487629 |
L(r)(E,1)/r! |
Ω |
0.35872101003513 |
Real period |
R |
3.2368390877055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002823 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360dn2 21840bu2 |
Quadratic twists by: -4 8 |