Atkin-Lehner |
3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775bb |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-175573125 = -1 · 32 · 54 · 74 · 13 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 0 13- 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,-650] |
[a1,a2,a3,a4,a6] |
Generators |
[10:10:1] |
Generators of the group modulo torsion |
j |
-1225/117 |
j-invariant |
L |
5.6944297330154 |
L(r)(E,1)/r! |
Ω |
0.79858222759235 |
Real period |
R |
1.1884457096283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47775bw1 47775dg1 |
Quadratic twists by: 5 -7 |