Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
10416bo |
Isogeny class |
Conductor |
10416 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-8033037112623366144 = -1 · 217 · 324 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,415408,89441940] |
[a1,a2,a3,a4,a6] |
Generators |
[1828:83430:1] |
Generators of the group modulo torsion |
j |
1935473755102091567/1961190701324064 |
j-invariant |
L |
6.2041619231693 |
L(r)(E,1)/r! |
Ω |
0.15398627944843 |
Real period |
R |
3.3575296152965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1302j4 41664db3 31248cj3 72912bk3 |
Quadratic twists by: -4 8 -3 -7 |