Atkin-Lehner |
2- 3+ 17+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
84048n |
Isogeny class |
Conductor |
84048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-4266421714944 = -1 · 216 · 37 · 172 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -1 4 4 -5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41656,-3260048] |
[a1,a2,a3,a4,a6] |
Generators |
[68506:6337209:8] |
Generators of the group modulo torsion |
j |
-1951672235345209/1041606864 |
j-invariant |
L |
6.0407973198733 |
L(r)(E,1)/r! |
Ω |
0.16708420506421 |
Real period |
R |
9.0385523222172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000185 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10506c1 |
Quadratic twists by: -4 |