Atkin-Lehner |
2- 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
7872s |
Isogeny class |
Conductor |
7872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
55717134336 = 224 · 34 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 -4 4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4257,-104895] |
[a1,a2,a3,a4,a6] |
j |
32553430057/212544 |
j-invariant |
L |
1.1825403726577 |
L(r)(E,1)/r! |
Ω |
0.59127018632884 |
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 |
7872j1 1968l1 23616cc1 |
Quadratic twists by: -4 8 -3 |