Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
43560w |
Isogeny class |
Conductor |
43560 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-155247840000000 = -1 · 211 · 36 · 57 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 11+ 4 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2013,-598466] |
[a1,a2,a3,a4,a6] |
Generators |
[198:2750:1] |
Generators of the group modulo torsion |
j |
453962/78125 |
j-invariant |
L |
6.0364491469317 |
L(r)(E,1)/r! |
Ω |
0.27217501762357 |
Real period |
R |
1.5841826440629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87120bu1 4840d1 43560cf1 |
Quadratic twists by: -4 -3 -11 |