Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5775z |
Isogeny class |
Conductor |
5775 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
7016625 = 36 · 53 · 7 · 11 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11- 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-53,72] |
[a1,a2,a3,a4,a6] |
Generators |
[1:4:1] |
Generators of the group modulo torsion |
j |
131872229/56133 |
j-invariant |
L |
3.1217676665564 |
L(r)(E,1)/r! |
Ω |
2.1317166272834 |
Real period |
R |
0.48814613015032 |
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 |
92400ew1 17325bp1 5775k1 40425bo1 |
Quadratic twists by: -4 -3 5 -7 |