Atkin-Lehner |
2- 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
32040j |
Isogeny class |
Conductor |
32040 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
1.5908439882425E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2951787,-357381434] |
[a1,a2,a3,a4,a6] |
Generators |
[-498:31450:1] |
Generators of the group modulo torsion |
j |
1905115360705348178/1065540865753125 |
j-invariant |
L |
6.9234872058006 |
L(r)(E,1)/r! |
Ω |
0.12372451100202 |
Real period |
R |
5.595889730926 |
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 |
64080l2 10680b2 |
Quadratic twists by: -4 -3 |