Atkin-Lehner |
2+ 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43050q |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-868766435250000 = -1 · 24 · 3 · 56 · 75 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 -3 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,22999,-454852] |
[a1,a2,a3,a4,a6] |
Generators |
[23:282:1] |
Generators of the group modulo torsion |
j |
86110813111679/55601051856 |
j-invariant |
L |
5.8043376828648 |
L(r)(E,1)/r! |
Ω |
0.28583210774574 |
Real period |
R |
2.0306807827299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129150dm1 1722h1 |
Quadratic twists by: -3 5 |