Atkin-Lehner |
2+ 3+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
84474f |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
738720 |
Modular degree for the optimal curve |
Δ |
-32238335232930528 = -1 · 25 · 33 · 133 · 198 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 0 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-353667,81502389] |
[a1,a2,a3,a4,a6] |
j |
-10668796875/70304 |
j-invariant |
L |
0.74344410074963 |
L(r)(E,1)/r! |
Ω |
0.37172204856387 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
84474bk2 84474bi1 |
Quadratic twists by: -3 -19 |