Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448bs |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-1409582685888 = -1 · 26 · 33 · 138 |
Discriminant |
Eigenvalues |
2+ 3- -4 -3 2 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1465,53379] |
[a1,a2,a3,a4,a6] |
j |
6656/27 |
j-invariant |
L |
1.8267813782657 |
L(r)(E,1)/r! |
Ω |
0.60892712609103 |
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 |
32448m1 16224q1 97344cv1 32448bq1 |
Quadratic twists by: -4 8 -3 13 |