Atkin-Lehner |
2- 3- 5- 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
121410bf |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
-171663243225277500 = -1 · 22 · 312 · 54 · 192 · 713 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9842,19940109] |
[a1,a2,a3,a4,a6] |
j |
-144612187806169/235477699897500 |
j-invariant |
L |
4.1434598373311 |
L(r)(E,1)/r! |
Ω |
0.25896622108265 |
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 |
40470e1 |
Quadratic twists by: -3 |