Atkin-Lehner |
2- 3- 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89670cl |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
330 |
Product of Tamagawa factors cp |
deg |
601920 |
Modular degree for the optimal curve |
Δ |
-380804530176000 = -1 · 222 · 35 · 53 · 72 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -5 6 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3375,941625] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:765:1] |
Generators of the group modulo torsion |
j |
-86767484336449/7771521024000 |
j-invariant |
L |
13.828786275759 |
L(r)(E,1)/r! |
Ω |
0.44039619265891 |
Real period |
R |
0.095153894620356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011782 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89670bg1 |
Quadratic twists by: -7 |