Atkin-Lehner |
2+ 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
55176c |
Isogeny class |
Conductor |
55176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
291456 |
Modular degree for the optimal curve |
Δ |
-275257381656576 = -1 · 211 · 3 · 119 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 1 -4 11+ 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58120,-5471248] |
[a1,a2,a3,a4,a6] |
j |
-4496182/57 |
j-invariant |
L |
2.7652367214303 |
L(r)(E,1)/r! |
Ω |
0.15362426223598 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110352c1 55176k1 |
Quadratic twists by: -4 -11 |