Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448bn |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1597440 |
Modular degree for the optimal curve |
Δ |
-5.9276628133235E+19 |
Discriminant |
Eigenvalues |
2+ 3- 3 4 4 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3693889,2756348063] |
[a1,a2,a3,a4,a6] |
j |
-616966948/6561 |
j-invariant |
L |
6.3515689554337 |
L(r)(E,1)/r! |
Ω |
0.19848652985712 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32448cn1 4056n1 97344cr1 32448bo1 |
Quadratic twists by: -4 8 -3 13 |