Atkin-Lehner |
2- 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
110544cu |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
51095792713728 = 216 · 3 · 76 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 0 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-199936,34475008] |
[a1,a2,a3,a4,a6] |
j |
1834216913521/106032 |
j-invariant |
L |
4.7909560067509 |
L(r)(E,1)/r! |
Ω |
0.59886955199104 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13818be2 2256n2 |
Quadratic twists by: -4 -7 |