Atkin-Lehner |
2- 3+ 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840by |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7000266240000 = 212 · 36 · 54 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5120,62400] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:270:1] |
Generators of the group modulo torsion |
j |
3624586490881/1709049375 |
j-invariant |
L |
6.1141353672621 |
L(r)(E,1)/r! |
Ω |
0.66659559010269 |
Real period |
R |
1.1465226177928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991375 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5115k2 |
Quadratic twists by: -4 |