Atkin-Lehner |
2- 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
39760w |
Isogeny class |
Conductor |
39760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-9974988800 = -1 · 214 · 52 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ -5 -1 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1240,-17900] |
[a1,a2,a3,a4,a6] |
j |
-51520374361/2435300 |
j-invariant |
L |
1.6045324881629 |
L(r)(E,1)/r! |
Ω |
0.40113312206117 |
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 |
4970f1 |
Quadratic twists by: -4 |