Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480bp |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-314867124633600 = -1 · 215 · 33 · 52 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12144,676800] |
[a1,a2,a3,a4,a6] |
Generators |
[8:880:1] |
Generators of the group modulo torsion |
j |
48351870250991/76871856600 |
j-invariant |
L |
3.2455212665733 |
L(r)(E,1)/r! |
Ω |
0.37065341939689 |
Real period |
R |
1.0945269545382 |
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 |
2310u2 73920hi2 55440ed2 92400hk2 |
Quadratic twists by: -4 8 -3 5 |