Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98736dc |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
4535318298274824192 = 228 · 3 · 117 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-549864,118692660] |
[a1,a2,a3,a4,a6] |
j |
2533811507137/625016832 |
j-invariant |
L |
1.8374656868608 |
L(r)(E,1)/r! |
Ω |
0.22968324621088 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12342d1 8976bf1 |
Quadratic twists by: -4 -11 |