Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
43120cr |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
55 |
Product of Tamagawa factors cp |
deg |
2882880 |
Modular degree for the optimal curve |
Δ |
-3.5541344786484E+22 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17408050,29396334927] |
[a1,a2,a3,a4,a6] |
Generators |
[2109:45375:1] |
Generators of the group modulo torsion |
j |
-129084391106508544/7863818359375 |
j-invariant |
L |
9.3002833099367 |
L(r)(E,1)/r! |
Ω |
0.11428518314411 |
Real period |
R |
1.4795974029946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999929 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10780m1 43120bb1 |
Quadratic twists by: -4 -7 |