Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280bk |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
-13402027998167040 = -1 · 214 · 311 · 5 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31548,-5972848] |
[a1,a2,a3,a4,a6] |
Generators |
[7213:612405:1] |
Generators of the group modulo torsion |
j |
-290731267024/1122078015 |
j-invariant |
L |
6.8458451173737 |
L(r)(E,1)/r! |
Ω |
0.16371442217461 |
Real period |
R |
5.2269716320869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999906689 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280dz1 11160p1 29760q1 |
Quadratic twists by: -4 8 -3 |