Atkin-Lehner |
2+ 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
87840r |
Isogeny class |
Conductor |
87840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
466817774400 = 26 · 314 · 52 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -6 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18057,-933356] |
[a1,a2,a3,a4,a6] |
Generators |
[213:2210:1] |
Generators of the group modulo torsion |
j |
13955744310976/10005525 |
j-invariant |
L |
7.4474738129361 |
L(r)(E,1)/r! |
Ω |
0.41186685700365 |
Real period |
R |
4.5205590616286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003339 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87840bp1 29280v1 |
Quadratic twists by: -4 -3 |