Atkin-Lehner |
2- 3+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
40992m |
Isogeny class |
Conductor |
40992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
8506741824 = 26 · 36 · 72 · 612 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1114,13984] |
[a1,a2,a3,a4,a6] |
j |
2391052454848/132917841 |
j-invariant |
L |
1.2872950596964 |
L(r)(E,1)/r! |
Ω |
1.2872950597659 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40992k1 81984z2 122976i1 |
Quadratic twists by: -4 8 -3 |