Atkin-Lehner |
2- 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
87220c |
Isogeny class |
Conductor |
87220 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
47520 |
Modular degree for the optimal curve |
Δ |
8722000 = 24 · 53 · 72 · 89 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 3 3 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-448,-3647] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:1:1] |
Generators of the group modulo torsion |
j |
12683575296/11125 |
j-invariant |
L |
3.226378903939 |
L(r)(E,1)/r! |
Ω |
1.0377743194875 |
Real period |
R |
1.0363135939192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994536 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87220k1 |
Quadratic twists by: -7 |