Atkin-Lehner |
2- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2210f |
Isogeny class |
Conductor |
2210 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
1838720000 = 210 · 54 · 132 · 17 |
Discriminant |
Eigenvalues |
2- -2 5- -2 0 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-360,1600] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:70:1] |
Generators of the group modulo torsion |
j |
5160676199041/1838720000 |
j-invariant |
L |
3.3216287650319 |
L(r)(E,1)/r! |
Ω |
1.3609976129575 |
Real period |
R |
0.1220291914331 |
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 |
17680k1 70720k1 19890f1 11050i1 |
Quadratic twists by: -4 8 -3 5 |