Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360fv |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-76289840040960 = -1 · 210 · 32 · 5 · 73 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6501,463995] |
[a1,a2,a3,a4,a6] |
Generators |
[1497:14212:27] |
Generators of the group modulo torsion |
j |
-29677755744256/74501796915 |
j-invariant |
L |
6.7703233336425 |
L(r)(E,1)/r! |
Ω |
0.54111462255871 |
Real period |
R |
6.2559049863378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360n3 21840bl3 |
Quadratic twists by: -4 8 |