Atkin-Lehner |
2- 5- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
87220n |
Isogeny class |
Conductor |
87220 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10944 |
Modular degree for the optimal curve |
Δ |
-2442160 = -1 · 24 · 5 · 73 · 89 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -5 -4 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,28,49] |
[a1,a2,a3,a4,a6] |
Generators |
[0:7:1] [15:62:1] |
Generators of the group modulo torsion |
j |
442368/445 |
j-invariant |
L |
10.95261987454 |
L(r)(E,1)/r! |
Ω |
1.6994087682907 |
Real period |
R |
1.0741598371339 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999212 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87220d1 |
Quadratic twists by: -7 |