Atkin-Lehner |
2- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9920bc |
Isogeny class |
Conductor |
9920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-203161600 = -1 · 218 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 2 5- -4 4 0 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,737] |
[a1,a2,a3,a4,a6] |
Generators |
[7:24:1] |
Generators of the group modulo torsion |
j |
-117649/775 |
j-invariant |
L |
6.0314512561177 |
L(r)(E,1)/r! |
Ω |
1.5359255573889 |
Real period |
R |
1.9634581985767 |
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 |
9920q1 2480j1 89280el1 49600bv1 |
Quadratic twists by: -4 8 -3 5 |