Atkin-Lehner |
2- 7- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
123662bb |
Isogeny class |
Conductor |
123662 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
72000 |
Modular degree for the optimal curve |
Δ |
-696464384 = -1 · 210 · 7 · 113 · 73 |
Discriminant |
Eigenvalues |
2- 1 3 7- 11+ -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,36,-1264] |
[a1,a2,a3,a4,a6] |
Generators |
[10:6:1] |
Generators of the group modulo torsion |
j |
3869893/523264 |
j-invariant |
L |
16.42328527136 |
L(r)(E,1)/r! |
Ω |
0.76129983721533 |
Real period |
R |
1.0786344914209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010161 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123662a1 |
Quadratic twists by: -11 |