Atkin-Lehner |
11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
75647c |
Isogeny class |
Conductor |
75647 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11328 |
Modular degree for the optimal curve |
Δ |
1739881 = 11 · 13 · 233 |
Discriminant |
Eigenvalues |
1 0 2 -4 11- 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-76,267] |
[a1,a2,a3,a4,a6] |
Generators |
[462:3219:8] |
Generators of the group modulo torsion |
j |
4019679/143 |
j-invariant |
L |
5.1113810558971 |
L(r)(E,1)/r! |
Ω |
2.6333670114408 |
Real period |
R |
3.8820119123187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003789 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75647a1 |
Quadratic twists by: -23 |