Atkin-Lehner |
2- 3+ 5+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109650bs |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-2851996500000 = -1 · 25 · 33 · 56 · 173 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 3 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,637,81281] |
[a1,a2,a3,a4,a6] |
j |
1829276567/182527776 |
j-invariant |
L |
3.0847550695035 |
L(r)(E,1)/r! |
Ω |
0.61695103046863 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4386i1 |
Quadratic twists by: 5 |