Atkin-Lehner |
2+ 3+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
5406c |
Isogeny class |
Conductor |
5406 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
28122012 = 22 · 33 · 173 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -2 1 2 -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-76,4] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:20:1] |
Generators of the group modulo torsion |
j |
49552182217/28122012 |
j-invariant |
L |
2.1949627114339 |
L(r)(E,1)/r! |
Ω |
1.8082141211553 |
Real period |
R |
0.20231404803905 |
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 |
43248bg1 16218o1 91902l1 |
Quadratic twists by: -4 -3 17 |