Atkin-Lehner |
2+ 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664q |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
2613059947827560448 = 220 · 314 · 75 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-601377,-161577567] |
[a1,a2,a3,a4,a6] |
j |
91753989172452937/9968032637892 |
j-invariant |
L |
1.7264790644605 |
L(r)(E,1)/r! |
Ω |
0.17264790644752 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664dl1 1302f1 124992cq1 |
Quadratic twists by: -4 8 -3 |