Atkin-Lehner |
3- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
111573bi |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
17891328 |
Modular degree for the optimal curve |
Δ |
-1.2052911650912E+20 |
Discriminant |
Eigenvalues |
-1 3- -4 7- 11- 4 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-65865197,205763477140] |
[a1,a2,a3,a4,a6] |
j |
-1074191725926252207/4097152081 |
j-invariant |
L |
1.3079810558862 |
L(r)(E,1)/r! |
Ω |
0.16349753202183 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12397e1 111573bh1 |
Quadratic twists by: -3 -7 |