Atkin-Lehner |
2+ 3+ 5- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
124080n |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
-5.2953358849937E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12293775,-16623933750] |
[a1,a2,a3,a4,a6] |
j |
-12842794875182384157177856/33095849281210546875 |
j-invariant |
L |
2.9021099884752 |
L(r)(E,1)/r! |
Ω |
0.040307067225633 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62040k1 |
Quadratic twists by: -4 |