Atkin-Lehner |
3- 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
7755h |
Isogeny class |
Conductor |
7755 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
132622286630625 = 38 · 54 · 114 · 472 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-32030,2133027] |
[a1,a2,a3,a4,a6] |
j |
3634087464024657121/132622286630625 |
j-invariant |
L |
2.3203957330712 |
L(r)(E,1)/r! |
Ω |
0.58009893326781 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
124080bm2 23265n2 38775d2 85305z2 |
Quadratic twists by: -4 -3 5 -11 |