Atkin-Lehner |
2+ 3- 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
64890bm |
Isogeny class |
Conductor |
64890 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
1922588578713600 = 212 · 312 · 52 · 73 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32544,-801792] |
[a1,a2,a3,a4,a6] |
Generators |
[-128:1184:1] |
Generators of the group modulo torsion |
j |
5228974019179009/2637295718400 |
j-invariant |
L |
5.281391277457 |
L(r)(E,1)/r! |
Ω |
0.37479611159259 |
Real period |
R |
1.1742809654849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000163 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21630bb1 |
Quadratic twists by: -3 |