Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5775t |
Isogeny class |
Conductor |
5775 |
Conductor |
∏ cp |
182 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
-1128353828928046875 = -1 · 313 · 57 · 77 · 11 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 11+ 2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,207342,36004844] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:5512:1] |
Generators of the group modulo torsion |
j |
63090423356788736/72214645051395 |
j-invariant |
L |
2.548845597391 |
L(r)(E,1)/r! |
Ω |
0.18318262573455 |
Real period |
R |
0.076451825512124 |
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 |
92400ds1 17325bh1 1155b1 40425s1 |
Quadratic twists by: -4 -3 5 -7 |