Atkin-Lehner |
3+ 7+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
40887c |
Isogeny class |
Conductor |
40887 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
2667949631854353 = 33 · 712 · 112 · 59 |
Discriminant |
Eigenvalues |
1 3+ 4 7+ 11+ 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-118095,15451128] |
[a1,a2,a3,a4,a6] |
Generators |
[-46120:-345516:125] |
Generators of the group modulo torsion |
j |
6746158614880898667/98812949327939 |
j-invariant |
L |
8.7374583601387 |
L(r)(E,1)/r! |
Ω |
0.45620666526808 |
Real period |
R |
9.5762063833523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40887f1 |
Quadratic twists by: -3 |