Atkin-Lehner |
2- 5- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
111650u |
Isogeny class |
Conductor |
111650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-598374218750 = -1 · 2 · 58 · 74 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 11+ 1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2888,70142] |
[a1,a2,a3,a4,a6] |
j |
-6819690145/1531838 |
j-invariant |
L |
3.5022902346021 |
L(r)(E,1)/r! |
Ω |
0.87557256062517 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111650c1 |
Quadratic twists by: 5 |