Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450s |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-39530700000000 = -1 · 28 · 33 · 58 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- -3 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8508,14416] |
[a1,a2,a3,a4,a6] |
Generators |
[344:6428:1] |
Generators of the group modulo torsion |
j |
441045/256 |
j-invariant |
L |
4.1015413431031 |
L(r)(E,1)/r! |
Ω |
0.38880876226613 |
Real period |
R |
0.29302761417036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999746 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54450el1 54450dy1 54450ek1 |
Quadratic twists by: -3 5 -11 |