Atkin-Lehner |
2+ 7+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
111202f |
Isogeny class |
Conductor |
111202 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
808704 |
Modular degree for the optimal curve |
Δ |
-10941128601096512 = -1 · 26 · 73 · 139 · 47 |
Discriminant |
Eigenvalues |
2+ -1 2 7+ 2 13- 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-184044,30727312] |
[a1,a2,a3,a4,a6] |
j |
-65013301261/1031744 |
j-invariant |
L |
1.6218249448882 |
L(r)(E,1)/r! |
Ω |
0.405456292552 |
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 |
111202bf1 |
Quadratic twists by: 13 |