Atkin-Lehner |
2- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9920s |
Isogeny class |
Conductor |
9920 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1600 |
Modular degree for the optimal curve |
Δ |
-6200000 = -1 · 26 · 55 · 31 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 2 6 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,39,-89] |
[a1,a2,a3,a4,a6] |
j |
99897344/96875 |
j-invariant |
L |
1.3008310008122 |
L(r)(E,1)/r! |
Ω |
1.3008310008122 |
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 |
9920h1 2480m1 89280fd1 49600bp1 |
Quadratic twists by: -4 8 -3 5 |