Atkin-Lehner |
2- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
16400s |
Isogeny class |
Conductor |
16400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
65600000000 = 212 · 58 · 41 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8675,-310750] |
[a1,a2,a3,a4,a6] |
Generators |
[265:4000:1] |
Generators of the group modulo torsion |
j |
1128111921/1025 |
j-invariant |
L |
3.8865001008428 |
L(r)(E,1)/r! |
Ω |
0.49471590537322 |
Real period |
R |
1.9640060379254 |
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 |
1025b1 65600bx1 3280m1 |
Quadratic twists by: -4 8 5 |