Atkin-Lehner |
2- 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
87220b |
Isogeny class |
Conductor |
87220 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
47232 |
Modular degree for the optimal curve |
Δ |
-5863626160 = -1 · 24 · 5 · 77 · 89 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 5 -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-261,3940] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-49:1] |
Generators of the group modulo torsion |
j |
-1048576/3115 |
j-invariant |
L |
3.7641853047289 |
L(r)(E,1)/r! |
Ω |
1.1857183406359 |
Real period |
R |
0.26455027171092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999853216 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12460d1 |
Quadratic twists by: -7 |