Atkin-Lehner |
2+ 3+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150t |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
900864 |
Modular degree for the optimal curve |
Δ |
-79654109184000 = -1 · 217 · 39 · 53 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -3 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1025232,-399303424] |
[a1,a2,a3,a4,a6] |
j |
-48438323602431183/32374784 |
j-invariant |
L |
1.2002838539999 |
L(r)(E,1)/r! |
Ω |
0.075017741225728 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111150dp1 111150dl1 |
Quadratic twists by: -3 5 |