Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
55176n |
Isogeny class |
Conductor |
55176 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
137280 |
Modular degree for the optimal curve |
Δ |
-6281700201216 = -1 · 28 · 36 · 116 · 19 |
Discriminant |
Eigenvalues |
2- 3- -3 3 11- 2 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6937,-255301] |
[a1,a2,a3,a4,a6] |
j |
-81415168/13851 |
j-invariant |
L |
3.1097962031374 |
L(r)(E,1)/r! |
Ω |
0.25914968356005 |
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 |
110352k1 456c1 |
Quadratic twists by: -4 -11 |