Atkin-Lehner |
2+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9920c |
Isogeny class |
Conductor |
9920 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-63488000 = -1 · 214 · 53 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 2 2 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-101,515] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:25:1] |
Generators of the group modulo torsion |
j |
-7023616/3875 |
j-invariant |
L |
5.1930107691524 |
L(r)(E,1)/r! |
Ω |
1.8250500203744 |
Real period |
R |
2.8454073648278 |
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 |
9920u1 1240f1 89280cc1 49600i1 |
Quadratic twists by: -4 8 -3 5 |