Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450hi |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-413479687500 = -1 · 22 · 37 · 58 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- 1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1805,-42303] |
[a1,a2,a3,a4,a6] |
Generators |
[83:570:1] |
Generators of the group modulo torsion |
j |
-18865/12 |
j-invariant |
L |
8.4732581307985 |
L(r)(E,1)/r! |
Ω |
0.35601735779658 |
Real period |
R |
2.9750158051137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000096 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18150v1 54450cl1 54450dq1 |
Quadratic twists by: -3 5 -11 |