Atkin-Lehner |
2- 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
87220d |
Isogeny class |
Conductor |
87220 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
76608 |
Modular degree for the optimal curve |
Δ |
-287317681840 = -1 · 24 · 5 · 79 · 89 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -5 4 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1372,-16807] |
[a1,a2,a3,a4,a6] |
Generators |
[98:-1029:1] [46:379:1] |
Generators of the group modulo torsion |
j |
442368/445 |
j-invariant |
L |
9.8417313495348 |
L(r)(E,1)/r! |
Ω |
0.52978224141695 |
Real period |
R |
3.0961561752466 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999736 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87220n1 |
Quadratic twists by: -7 |