Atkin-Lehner |
3- 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6045g |
Isogeny class |
Conductor |
6045 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
472265625 = 3 · 58 · 13 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-234,871] |
[a1,a2,a3,a4,a6] |
Generators |
[8:14821:512] |
Generators of the group modulo torsion |
j |
1408317602329/472265625 |
j-invariant |
L |
5.3071240955585 |
L(r)(E,1)/r! |
Ω |
1.5309720487337 |
Real period |
R |
6.9330123955538 |
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 |
96720br1 18135p1 30225c1 78585u1 |
Quadratic twists by: -4 -3 5 13 |