Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360fa |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
15913020169912320 = 219 · 34 · 5 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-73185,4632705] |
[a1,a2,a3,a4,a6] |
Generators |
[3306:53541:8] |
Generators of the group modulo torsion |
j |
165369706597369/60703354530 |
j-invariant |
L |
4.6444887487629 |
L(r)(E,1)/r! |
Ω |
0.35872101003513 |
Real period |
R |
6.473678175411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002823 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360dn3 21840bu3 |
Quadratic twists by: -4 8 |