Atkin-Lehner |
3+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
55473b |
Isogeny class |
Conductor |
55473 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1377600 |
Modular degree for the optimal curve |
Δ |
-234780756511844763 = -1 · 35 · 112 · 418 |
Discriminant |
Eigenvalues |
0 3+ 0 5 11+ 3 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3216313,2221361481] |
[a1,a2,a3,a4,a6] |
j |
-460816384000/29403 |
j-invariant |
L |
1.7835514547072 |
L(r)(E,1)/r! |
Ω |
0.29725857561025 |
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 |
55473s1 |
Quadratic twists by: 41 |