Atkin-Lehner |
2- 3- 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
18540g |
Isogeny class |
Conductor |
18540 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-14596912800000 = -1 · 28 · 311 · 55 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 2 2 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8967,374974] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:810:1] |
Generators of the group modulo torsion |
j |
-427265402704/78215625 |
j-invariant |
L |
6.0856162037127 |
L(r)(E,1)/r! |
Ω |
0.67482486411314 |
Real period |
R |
0.15030112570295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74160bm1 6180c1 92700j1 |
Quadratic twists by: -4 -3 5 |