Atkin-Lehner |
2- 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
43050ca |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
3.53906982912E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3292813,2113977617] |
[a1,a2,a3,a4,a6] |
Generators |
[562:20719:1] |
Generators of the group modulo torsion |
j |
252699799527705486601/22650046906368000 |
j-invariant |
L |
11.069711844926 |
L(r)(E,1)/r! |
Ω |
0.16592073534559 |
Real period |
R |
0.69496737791394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129150be1 8610e1 |
Quadratic twists by: -3 5 |