Atkin-Lehner |
2+ 3- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
64050x |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
171072 |
Modular degree for the optimal curve |
Δ |
-16546636968750 = -1 · 2 · 311 · 56 · 72 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 0 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,6324,29248] |
[a1,a2,a3,a4,a6] |
Generators |
[8:279:1] |
Generators of the group modulo torsion |
j |
1790515088207/1058984766 |
j-invariant |
L |
6.3303727602339 |
L(r)(E,1)/r! |
Ω |
0.42326183752904 |
Real period |
R |
0.67982556154108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2562m1 |
Quadratic twists by: 5 |