Atkin-Lehner |
2+ 3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
110544d |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1787520 |
Modular degree for the optimal curve |
Δ |
-78240432592896 = -1 · 211 · 3 · 78 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 5 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2163072,1225209504] |
[a1,a2,a3,a4,a6] |
j |
-94803106237826/6627 |
j-invariant |
L |
1.8532297213611 |
L(r)(E,1)/r! |
Ω |
0.46330732159899 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55272z1 110544bh1 |
Quadratic twists by: -4 -7 |