Atkin-Lehner |
2- 3+ 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
64050cf |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-1721664000 = -1 · 29 · 32 · 53 · 72 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -6 -5 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1103,13781] |
[a1,a2,a3,a4,a6] |
Generators |
[15:22:1] [-21:178:1] |
Generators of the group modulo torsion |
j |
-1187311966469/13773312 |
j-invariant |
L |
11.941273841561 |
L(r)(E,1)/r! |
Ω |
1.498477193158 |
Real period |
R |
0.11067971293426 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64050bn1 |
Quadratic twists by: 5 |