Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114444g |
Isogeny class |
Conductor |
114444 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-14320281323361024 = -1 · 28 · 36 · 11 · 178 |
Discriminant |
Eigenvalues |
2- 3- 3 2 11+ -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1290096,564032052] |
[a1,a2,a3,a4,a6] |
Generators |
[9219843733:3003921199:13997521] |
Generators of the group modulo torsion |
j |
-52714340352/3179 |
j-invariant |
L |
9.7302847981325 |
L(r)(E,1)/r! |
Ω |
0.37479596412508 |
Real period |
R |
12.980775883617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999997261 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12716f1 6732d1 |
Quadratic twists by: -3 17 |