Atkin-Lehner |
2+ 3- 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
89040x |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-3078504576000 = -1 · 210 · 33 · 53 · 75 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -5 5 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3600,-13500] |
[a1,a2,a3,a4,a6] |
Generators |
[120:-1470:1] |
Generators of the group modulo torsion |
j |
5037448449596/3006352125 |
j-invariant |
L |
8.8125224039346 |
L(r)(E,1)/r! |
Ω |
0.46666285653812 |
Real period |
R |
0.20982367489159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010727 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44520r1 |
Quadratic twists by: -4 |