Atkin-Lehner |
2- 5- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
87220q |
Isogeny class |
Conductor |
87220 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
1457280 |
Modular degree for the optimal curve |
Δ |
-33961287500000000 = -1 · 28 · 511 · 73 · 892 |
Discriminant |
Eigenvalues |
2- -3 5- 7- -5 -1 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-134512,20956516] |
[a1,a2,a3,a4,a6] |
Generators |
[26628:-389375:64] [252:1750:1] |
Generators of the group modulo torsion |
j |
-3065298106908672/386767578125 |
j-invariant |
L |
6.9039525047587 |
L(r)(E,1)/r! |
Ω |
0.35714327798785 |
Real period |
R |
0.14644730481625 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992416 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87220g1 |
Quadratic twists by: -7 |