Atkin-Lehner |
2+ 3- 13+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75582f |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9.9001791908612E+19 |
Discriminant |
Eigenvalues |
2+ 3- 4 -4 2 13+ 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1284390,-736610252] |
[a1,a2,a3,a4,a6] |
Generators |
[22769939176755:-483066285626992:14616271125] |
Generators of the group modulo torsion |
j |
-321430527302329081441/135804927172307328 |
j-invariant |
L |
5.7688839341382 |
L(r)(E,1)/r! |
Ω |
0.069473614780574 |
Real period |
R |
20.759262171574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25194s2 |
Quadratic twists by: -3 |