Atkin-Lehner |
2- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
24400u |
Isogeny class |
Conductor |
24400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3812500000000000000 = -1 · 214 · 518 · 61 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,390325,3904250] |
[a1,a2,a3,a4,a6] |
Generators |
[2165305402:-1437493181454:4913] |
Generators of the group modulo torsion |
j |
102759703687719/59570312500 |
j-invariant |
L |
5.5672576021453 |
L(r)(E,1)/r! |
Ω |
0.14915015716085 |
Real period |
R |
18.663264283863 |
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 |
3050j4 97600bs3 4880g4 |
Quadratic twists by: -4 8 5 |