Atkin-Lehner |
2- 3- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
71760bs |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1175040 |
Modular degree for the optimal curve |
Δ |
-39968142831452160 = -1 · 216 · 33 · 5 · 135 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 5 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-180896,-31196940] |
[a1,a2,a3,a4,a6] |
j |
-159828070411428769/9757847370960 |
j-invariant |
L |
2.0761172744887 |
L(r)(E,1)/r! |
Ω |
0.11533984928303 |
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 |
8970j1 |
Quadratic twists by: -4 |