Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360gh |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-35871794174361600 = -1 · 219 · 34 · 52 · 7 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-127041,-19709505] |
[a1,a2,a3,a4,a6] |
Generators |
[495:6240:1] |
Generators of the group modulo torsion |
j |
-865005601073041/136840035150 |
j-invariant |
L |
8.1013110254277 |
L(r)(E,1)/r! |
Ω |
0.12534904639337 |
Real period |
R |
1.3464586919391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992363 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360i2 21840bm2 |
Quadratic twists by: -4 8 |