Atkin-Lehner |
3+ 7- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
120099b |
Isogeny class |
Conductor |
120099 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16972800 |
Modular degree for the optimal curve |
Δ |
1.8613818021071E+24 |
Discriminant |
Eigenvalues |
1 3+ 2 7- -4 -4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-42727339,-85149536912] |
[a1,a2,a3,a4,a6] |
j |
73325161316667048071977/15821484263419841937 |
j-invariant |
L |
1.9185535105322 |
L(r)(E,1)/r! |
Ω |
0.059954814021491 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17157h1 |
Quadratic twists by: -7 |