Atkin-Lehner |
2+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38962l |
Isogeny class |
Conductor |
38962 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
1476464140550476 = 22 · 77 · 117 · 23 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- 11- -3 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-107208,13339396] |
[a1,a2,a3,a4,a6] |
Generators |
[226:734:1] |
Generators of the group modulo torsion |
j |
76922876001889/833425516 |
j-invariant |
L |
2.6311735080152 |
L(r)(E,1)/r! |
Ω |
0.48005349611003 |
Real period |
R |
0.097875011004668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3542j1 |
Quadratic twists by: -11 |