Atkin-Lehner |
2- 3- 7- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118818bk |
Isogeny class |
Conductor |
118818 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
607406170896 = 24 · 36 · 74 · 232 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 6 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18734,990893] |
[a1,a2,a3,a4,a6] |
Generators |
[99:265:1] |
Generators of the group modulo torsion |
j |
997392270041497/833204624 |
j-invariant |
L |
14.507403090942 |
L(r)(E,1)/r! |
Ω |
0.90897283448135 |
Real period |
R |
0.9975135179108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037223 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13202d1 |
Quadratic twists by: -3 |