Atkin-Lehner |
2+ 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
60270i |
Isogeny class |
Conductor |
60270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
24419520562500 = 22 · 34 · 56 · 76 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7474,72272] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:584:1] |
Generators of the group modulo torsion |
j |
392383937161/207562500 |
j-invariant |
L |
5.6505940307749 |
L(r)(E,1)/r! |
Ω |
0.59005166878558 |
Real period |
R |
1.1970549211694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999757 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1230a1 |
Quadratic twists by: -7 |