Atkin-Lehner |
2- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
16400u |
Isogeny class |
Conductor |
16400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
65600000000 = 212 · 58 · 41 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 -6 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8408,299312] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:750:1] |
Generators of the group modulo torsion |
j |
1027243729/1025 |
j-invariant |
L |
6.9387983164261 |
L(r)(E,1)/r! |
Ω |
1.0964290793518 |
Real period |
R |
1.5821356910125 |
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 |
1025c1 65600cc1 3280i1 |
Quadratic twists by: -4 8 5 |