Atkin-Lehner |
2- 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
87220k |
Isogeny class |
Conductor |
87220 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
332640 |
Modular degree for the optimal curve |
Δ |
1026134578000 = 24 · 53 · 78 · 89 |
Discriminant |
Eigenvalues |
2- 3 5- 7+ 3 -3 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21952,1250921] |
[a1,a2,a3,a4,a6] |
j |
12683575296/11125 |
j-invariant |
L |
7.8354741850208 |
L(r)(E,1)/r! |
Ω |
0.87060825028935 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87220c1 |
Quadratic twists by: -7 |