Atkin-Lehner |
3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5775w |
Isogeny class |
Conductor |
5775 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
36960 |
Modular degree for the optimal curve |
Δ |
334327060423125 = 310 · 54 · 77 · 11 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 11+ -1 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-343733,-77677231] |
[a1,a2,a3,a4,a6] |
Generators |
[-341:13:1] |
Generators of the group modulo torsion |
j |
7186354610687180800/534923296677 |
j-invariant |
L |
3.7464129974558 |
L(r)(E,1)/r! |
Ω |
0.19717238149878 |
Real period |
R |
1.9000698622079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92400fq1 17325bn1 5775g1 40425bc1 |
Quadratic twists by: -4 -3 5 -7 |