Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
74360o |
Isogeny class |
Conductor |
74360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
1168087778000 = 24 · 53 · 112 · 136 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-852098,302748797] |
[a1,a2,a3,a4,a6] |
Generators |
[542:363:1] |
Generators of the group modulo torsion |
j |
885956203616256/15125 |
j-invariant |
L |
2.969929176517 |
L(r)(E,1)/r! |
Ω |
0.62006414094899 |
Real period |
R |
2.3948564186988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
440c1 |
Quadratic twists by: 13 |