Atkin-Lehner |
3- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
12201g |
Isogeny class |
Conductor |
12201 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11232 |
Modular degree for the optimal curve |
Δ |
-12355745283 = -1 · 32 · 74 · 833 |
Discriminant |
Eigenvalues |
2 3- -2 7+ 1 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-114,-5407] |
[a1,a2,a3,a4,a6] |
j |
-68841472/5146083 |
j-invariant |
L |
4.4678678171041 |
L(r)(E,1)/r! |
Ω |
0.55848347713801 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36603g1 12201f1 |
Quadratic twists by: -3 -7 |