Atkin-Lehner |
3- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103455j |
Isogeny class |
Conductor |
103455 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
816498336701025 = 36 · 52 · 119 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11+ -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-122535,16483000] |
[a1,a2,a3,a4,a6] |
j |
118370771/475 |
j-invariant |
L |
1.0092913644633 |
L(r)(E,1)/r! |
Ω |
0.50464578528786 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11495d1 103455l1 |
Quadratic twists by: -3 -11 |