Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98736dn |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
-80125400377110528 = -1 · 212 · 310 · 117 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 11- -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7219989,-7469535933] |
[a1,a2,a3,a4,a6] |
Generators |
[3318:71511:1] |
Generators of the group modulo torsion |
j |
-5736108018368512/11042163 |
j-invariant |
L |
4.700971713319 |
L(r)(E,1)/r! |
Ω |
0.046050608144421 |
Real period |
R |
5.1041364045057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000793 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6171a1 8976ba1 |
Quadratic twists by: -4 -11 |