Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360ft |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-147402178560000 = -1 · 217 · 32 · 54 · 7 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5119,568575] |
[a1,a2,a3,a4,a6] |
Generators |
[37:900:1] |
Generators of the group modulo torsion |
j |
113157757438/1124589375 |
j-invariant |
L |
7.1882570225746 |
L(r)(E,1)/r! |
Ω |
0.42555819593834 |
Real period |
R |
2.1114200982034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995818 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360l3 21840g3 |
Quadratic twists by: -4 8 |