Atkin-Lehner |
2- 3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
64050cq |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
8406562500 = 22 · 32 · 57 · 72 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1313,-17883] |
[a1,a2,a3,a4,a6] |
Generators |
[-154:227:8] |
Generators of the group modulo torsion |
j |
16022066761/538020 |
j-invariant |
L |
11.218171049091 |
L(r)(E,1)/r! |
Ω |
0.79474148322762 |
Real period |
R |
1.764437129171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000264 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12810d1 |
Quadratic twists by: 5 |