Atkin-Lehner |
2+ 3+ 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
72504a |
Isogeny class |
Conductor |
72504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9728 |
Modular degree for the optimal curve |
Δ |
435024 = 24 · 33 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -1 -6 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-162,793] |
[a1,a2,a3,a4,a6] |
Generators |
[8:3:1] |
Generators of the group modulo torsion |
j |
1088391168/1007 |
j-invariant |
L |
4.9138631504786 |
L(r)(E,1)/r! |
Ω |
2.9590133461961 |
Real period |
R |
0.41516061057015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72504p1 |
Quadratic twists by: -3 |