Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448b |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
46841516946432 = 210 · 36 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 0 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9013,10165] |
[a1,a2,a3,a4,a6] |
Generators |
[148:1377:1] |
Generators of the group modulo torsion |
j |
16384000/9477 |
j-invariant |
L |
3.8723792455257 |
L(r)(E,1)/r! |
Ω |
0.5397702793532 |
Real period |
R |
3.587062305622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32448cy1 2028d1 97344y1 2496a1 |
Quadratic twists by: -4 8 -3 13 |