Atkin-Lehner |
2- 3- 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
121752bb |
Isogeny class |
Conductor |
121752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
843776 |
Modular degree for the optimal curve |
Δ |
-849045948781104 = -1 · 24 · 322 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3- 3 2 1 -7 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-94926,-11344043] |
[a1,a2,a3,a4,a6] |
j |
-8110203356489728/72792005211 |
j-invariant |
L |
4.3495142168577 |
L(r)(E,1)/r! |
Ω |
0.13592229671342 |
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 |
40584e1 |
Quadratic twists by: -3 |