Atkin-Lehner |
2+ 3+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
118440l |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
1492965810000 = 24 · 33 · 54 · 76 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8622,302489] |
[a1,a2,a3,a4,a6] |
Generators |
[40:147:1] |
Generators of the group modulo torsion |
j |
164083163609088/3455939375 |
j-invariant |
L |
9.2092314331666 |
L(r)(E,1)/r! |
Ω |
0.84892491806909 |
Real period |
R |
0.45200460659958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071864 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118440br1 |
Quadratic twists by: -3 |