Atkin-Lehner |
3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5775x |
Isogeny class |
Conductor |
5775 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
13265806640625 = 36 · 59 · 7 · 113 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11+ 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-25388,-1549233] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:130:1] |
Generators of the group modulo torsion |
j |
926574216749/6792093 |
j-invariant |
L |
2.9298437704072 |
L(r)(E,1)/r! |
Ω |
0.37838529211833 |
Real period |
R |
2.5810056851531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400fs1 17325bo1 5775m1 40425bi1 |
Quadratic twists by: -4 -3 5 -7 |