Atkin-Lehner |
2+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
6560g |
Isogeny class |
Conductor |
6560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
65600 = 26 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5- 4 -4 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:4:1] |
Generators of the group modulo torsion |
j |
1906624/1025 |
j-invariant |
L |
3.262079579998 |
L(r)(E,1)/r! |
Ω |
3.0454327723588 |
Real period |
R |
1.0711382663264 |
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 |
6560n1 13120m1 59040bk1 32800p1 |
Quadratic twists by: -4 8 -3 5 |