Atkin-Lehner |
3- 7- 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
111069d |
Isogeny class |
Conductor |
111069 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
-105862862763 = -1 · 36 · 72 · 413 · 43 |
Discriminant |
Eigenvalues |
0 3- 0 7- 6 -4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3720,-88722] |
[a1,a2,a3,a4,a6] |
j |
-7809531904000/145216547 |
j-invariant |
L |
2.4425577552314 |
L(r)(E,1)/r! |
Ω |
0.30531974553764 |
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 |
12341c1 |
Quadratic twists by: -3 |