Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360fu |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12960869465456640 = 219 · 38 · 5 · 73 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2572189121,50210557479999] |
[a1,a2,a3,a4,a6] |
Generators |
[91874750:18896355117:1331] |
Generators of the group modulo torsion |
j |
7179471593960193209684686321/49441793310 |
j-invariant |
L |
7.402919702475 |
L(r)(E,1)/r! |
Ω |
0.13332988499822 |
Real period |
R |
13.880833424963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007505 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360m8 21840bk8 |
Quadratic twists by: -4 8 |