Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19350bx |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-1253880000000 = -1 · 29 · 36 · 57 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 6 -5 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,895,-53103] |
[a1,a2,a3,a4,a6] |
Generators |
[59:420:1] |
Generators of the group modulo torsion |
j |
6967871/110080 |
j-invariant |
L |
8.0549145803229 |
L(r)(E,1)/r! |
Ω |
0.42088591648993 |
Real period |
R |
0.26580555260341 |
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 |
2150a1 3870j1 |
Quadratic twists by: -3 5 |