Atkin-Lehner |
2- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
3280h |
Isogeny class |
Conductor |
3280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
1074790400 = 220 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 -2 -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-256,0] |
[a1,a2,a3,a4,a6] |
Generators |
[18:30:1] |
Generators of the group modulo torsion |
j |
454756609/262400 |
j-invariant |
L |
4.4293723076004 |
L(r)(E,1)/r! |
Ω |
1.3015117760732 |
Real period |
R |
1.7016259049781 |
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 |
410d1 13120bn1 29520bx1 16400v1 |
Quadratic twists by: -4 8 -3 5 |