Atkin-Lehner |
2- 5+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
104060b |
Isogeny class |
Conductor |
104060 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
933120 |
Modular degree for the optimal curve |
Δ |
48917059408250000 = 24 · 56 · 113 · 435 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 11+ 4 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-586553,-172577823] |
[a1,a2,a3,a4,a6] |
Generators |
[-451:473:1] |
Generators of the group modulo torsion |
j |
1047966633280053504/2297006921875 |
j-invariant |
L |
6.7541255790186 |
L(r)(E,1)/r! |
Ω |
0.17253608291166 |
Real period |
R |
0.65243604511002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000681 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104060a1 |
Quadratic twists by: -11 |