Atkin-Lehner |
3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
39249n |
Isogeny class |
Conductor |
39249 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-898036554888081 = -1 · 36 · 712 · 89 |
Discriminant |
Eigenvalues |
-1 3- 1 7- 4 -2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,12118,1344242] |
[a1,a2,a3,a4,a6] |
j |
2294744759/10470761 |
j-invariant |
L |
1.4284928168685 |
L(r)(E,1)/r! |
Ω |
0.35712320421995 |
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 |
4361a1 5607d1 |
Quadratic twists by: -3 -7 |