Atkin-Lehner |
2+ 3+ 5+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
105450b |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-91108800 = -1 · 26 · 34 · 52 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -1 1 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-340,2320] |
[a1,a2,a3,a4,a6] |
Generators |
[16:28:1] |
Generators of the group modulo torsion |
j |
-174668570545/3644352 |
j-invariant |
L |
4.2356119490849 |
L(r)(E,1)/r! |
Ω |
1.9066929976898 |
Real period |
R |
0.55536103277401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999517541 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105450cp1 |
Quadratic twists by: 5 |