Atkin-Lehner |
2+ 3- 5+ 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
63630i |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
5509575605520 = 24 · 39 · 5 · 73 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7470,223236] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:689:1] |
Generators of the group modulo torsion |
j |
63239829700321/7557716880 |
j-invariant |
L |
3.7495376338787 |
L(r)(E,1)/r! |
Ω |
0.73601847965469 |
Real period |
R |
2.5471762855717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990417 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21210bb1 |
Quadratic twists by: -3 |