Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560bz |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1204771526400000000 = 214 · 3 · 58 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2284936,-1329123340] |
[a1,a2,a3,a4,a6] |
Generators |
[-11108343512:-7172183733:12487168] |
Generators of the group modulo torsion |
j |
66730743078481/60937500 |
j-invariant |
L |
6.9317707759583 |
L(r)(E,1)/r! |
Ω |
0.1228018297995 |
Real period |
R |
14.111700915372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999919 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5070a4 121680ep4 3120z3 |
Quadratic twists by: -4 -3 13 |