Atkin-Lehner |
2- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9920bd |
Isogeny class |
Conductor |
9920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-79360000 = -1 · 212 · 54 · 31 |
Discriminant |
Eigenvalues |
2- -2 5- 0 6 4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25,423] |
[a1,a2,a3,a4,a6] |
Generators |
[1:20:1] |
Generators of the group modulo torsion |
j |
-438976/19375 |
j-invariant |
L |
3.6774784127347 |
L(r)(E,1)/r! |
Ω |
1.6016190372017 |
Real period |
R |
0.57402514694756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9920bi1 4960c1 89280ee1 49600br1 |
Quadratic twists by: -4 8 -3 5 |