Atkin-Lehner |
3+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
111033a |
Isogeny class |
Conductor |
111033 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
247296 |
Modular degree for the optimal curve |
Δ |
-1607805251091 = -1 · 33 · 138 · 73 |
Discriminant |
Eigenvalues |
2 3+ -3 2 4 13+ -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1521,-56573] |
[a1,a2,a3,a4,a6] |
j |
2985984/12337 |
j-invariant |
L |
1.7095019806308 |
L(r)(E,1)/r! |
Ω |
0.42737559022832 |
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 |
111033b1 8541b1 |
Quadratic twists by: -3 13 |