Atkin-Lehner |
5- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
32065c |
Isogeny class |
Conductor |
32065 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
103491797875296875 = 56 · 119 · 532 |
Discriminant |
Eigenvalues |
1 0 5- 4 11- 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-875639,-314782330] |
[a1,a2,a3,a4,a6] |
Generators |
[-554:522:1] |
Generators of the group modulo torsion |
j |
41912461658206881/58418421875 |
j-invariant |
L |
7.6218071308544 |
L(r)(E,1)/r! |
Ω |
0.15608264250691 |
Real period |
R |
4.0693224053389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2915d2 |
Quadratic twists by: -11 |