Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2640k |
Isogeny class |
Conductor |
2640 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
2640 = 24 · 3 · 5 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55,140] |
[a1,a2,a3,a4,a6] |
Generators |
[156:188:27] |
Generators of the group modulo torsion |
j |
1171019776/165 |
j-invariant |
L |
3.8809396355696 |
L(r)(E,1)/r! |
Ω |
4.3948950560707 |
Real period |
R |
3.5322250802862 |
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 |
1320b1 10560bn1 7920h1 13200b1 |
Quadratic twists by: -4 8 -3 5 |