Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47775cg |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-136248328125 = -1 · 34 · 56 · 72 · 133 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -5 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,499,17273] |
[a1,a2,a3,a4,a6] |
Generators |
[27:211:1] |
Generators of the group modulo torsion |
j |
17999471/177957 |
j-invariant |
L |
7.7492079675251 |
L(r)(E,1)/r! |
Ω |
0.76163208794345 |
Real period |
R |
1.2718095932022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1911b1 47775h1 |
Quadratic twists by: 5 -7 |