Atkin-Lehner |
3- 5+ 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
75555c |
Isogeny class |
Conductor |
75555 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.5502366976998E+30 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3668780655,-61050562316474] |
[a1,a2,a3,a4,a6] |
Generators |
[-103993413722477060334:-16376964288148119471083:3601135600840952] |
Generators of the group modulo torsion |
j |
7491373081461849416794105463281/2126524962551205655782421875 |
j-invariant |
L |
6.8858147112403 |
L(r)(E,1)/r! |
Ω |
0.019816852944086 |
Real period |
R |
28.956055448008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991178 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25185b2 |
Quadratic twists by: -3 |