Atkin-Lehner |
2- 3- 5- 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
121410bc |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-420412477500 = -1 · 22 · 38 · 54 · 192 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8537,-303051] |
[a1,a2,a3,a4,a6] |
j |
-94376601570889/576697500 |
j-invariant |
L |
3.9719939069892 |
L(r)(E,1)/r! |
Ω |
0.24824962292334 |
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 |
40470c1 |
Quadratic twists by: -3 |