Atkin-Lehner |
2- 3+ 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150da |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
152 |
Product of Tamagawa factors cp |
deg |
1313280 |
Modular degree for the optimal curve |
Δ |
-170726400000000000 = -1 · 219 · 33 · 511 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 5 13- -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,45745,19508247] |
[a1,a2,a3,a4,a6] |
Generators |
[99:-5050:1] |
Generators of the group modulo torsion |
j |
25094567676933/404684800000 |
j-invariant |
L |
11.152571096689 |
L(r)(E,1)/r! |
Ω |
0.23926709111822 |
Real period |
R |
0.30665386427244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002495 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111150e1 22230a1 |
Quadratic twists by: -3 5 |