Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360cw |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5179393379747758080 = 221 · 3 · 5 · 78 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-581985,-131396097] |
[a1,a2,a3,a4,a6] |
Generators |
[98602293540958:-13351608131348643:5368567751] |
Generators of the group modulo torsion |
j |
83161039719198169/19757817763320 |
j-invariant |
L |
7.8109161782551 |
L(r)(E,1)/r! |
Ω |
0.17582671781811 |
Real period |
R |
22.211971764031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999938275 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360fk3 2730b4 |
Quadratic twists by: -4 8 |