Atkin-Lehner |
2- 5- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117040by |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-49207083310000 = -1 · 24 · 54 · 72 · 114 · 193 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11- 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4772,-360561] |
[a1,a2,a3,a4,a6] |
j |
-751112577662976/3075442706875 |
j-invariant |
L |
2.0943486010333 |
L(r)(E,1)/r! |
Ω |
0.26179361511903 |
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 |
29260l1 |
Quadratic twists by: -4 |