Atkin-Lehner |
2- 3- 7- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
34314bb |
Isogeny class |
Conductor |
34314 |
Conductor |
∏ cp |
135 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
34865220096 = 29 · 35 · 73 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -5 6 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1266,14724] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:-162:1] |
Generators of the group modulo torsion |
j |
224412099736609/34865220096 |
j-invariant |
L |
10.323732071297 |
L(r)(E,1)/r! |
Ω |
1.1121791877513 |
Real period |
R |
0.068758784788654 |
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 |
102942y1 |
Quadratic twists by: -3 |