Atkin-Lehner |
2- 3- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111384bz |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-4647686784878592 = -1 · 211 · 311 · 73 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 13+ 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-308955,66179734] |
[a1,a2,a3,a4,a6] |
j |
-2184499329043250/3113001801 |
j-invariant |
L |
2.603043565159 |
L(r)(E,1)/r! |
Ω |
0.43384067830606 |
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 |
37128l1 |
Quadratic twists by: -3 |