Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222bj |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
835584 |
Modular degree for the optimal curve |
Δ |
102703267615979844 = 22 · 39 · 11 · 179 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11+ 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-303071,-62264829] |
[a1,a2,a3,a4,a6] |
Generators |
[18110355737120:-6083204585459247:160989184] |
Generators of the group modulo torsion |
j |
35611289/1188 |
j-invariant |
L |
9.4332004137887 |
L(r)(E,1)/r! |
Ω |
0.20389276846469 |
Real period |
R |
23.132748857656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19074c1 57222bs1 |
Quadratic twists by: -3 17 |