Atkin-Lehner |
2- 3- 7+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
39606o |
Isogeny class |
Conductor |
39606 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1042944 |
Modular degree for the optimal curve |
Δ |
-182366155391406336 = -1 · 28 · 36 · 7 · 237 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 6 3 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-216787,-43967071] |
[a1,a2,a3,a4,a6] |
j |
-1126739562413144832433/182366155391406336 |
j-invariant |
L |
5.2633307047823 |
L(r)(E,1)/r! |
Ω |
0.10965272301688 |
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 |
118818m1 |
Quadratic twists by: -3 |