Atkin-Lehner |
3- 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
7755h |
Isogeny class |
Conductor |
7755 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
33369598388671875 = 32 · 516 · 11 · 472 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1174490,-489935583] |
[a1,a2,a3,a4,a6] |
j |
179172645214079475545761/33369598388671875 |
j-invariant |
L |
2.3203957330712 |
L(r)(E,1)/r! |
Ω |
0.14502473331695 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124080bm6 23265n6 38775d6 85305z6 |
Quadratic twists by: -4 -3 5 -11 |