Atkin-Lehner |
2+ 5- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61880i |
Isogeny class |
Conductor |
61880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
509608408400 = 24 · 52 · 78 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -4 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2642,39401] |
[a1,a2,a3,a4,a6] |
Generators |
[16:35:1] |
Generators of the group modulo torsion |
j |
127468292806656/31850525525 |
j-invariant |
L |
5.947762882479 |
L(r)(E,1)/r! |
Ω |
0.8708633071383 |
Real period |
R |
3.414865934546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000158 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
123760k1 |
Quadratic twists by: -4 |