Atkin-Lehner |
2- 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
87220a |
Isogeny class |
Conductor |
87220 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2070432 |
Modular degree for the optimal curve |
Δ |
4.9102142892578E+20 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2548261,1147520690] |
[a1,a2,a3,a4,a6] |
Generators |
[-98674043670520246:10065003275748385733:213268396492936] |
Generators of the group modulo torsion |
j |
404906941874176/108642578125 |
j-invariant |
L |
4.5756248939936 |
L(r)(E,1)/r! |
Ω |
0.15474379879015 |
Real period |
R |
29.569035591524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87220j1 |
Quadratic twists by: -7 |