Atkin-Lehner |
2+ 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110466d |
Isogeny class |
Conductor |
110466 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2068416 |
Modular degree for the optimal curve |
Δ |
-7785976162009044096 = -1 · 27 · 36 · 173 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 1 0 -2 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1505979,724272997] |
[a1,a2,a3,a4,a6] |
j |
-30508741009/628864 |
j-invariant |
L |
0.46814326711977 |
L(r)(E,1)/r! |
Ω |
0.23407191605274 |
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 |
12274n1 110466bg1 |
Quadratic twists by: -3 -19 |