Atkin-Lehner |
3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42075cj |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-313604330551875 = -1 · 315 · 54 · 112 · 172 |
Discriminant |
Eigenvalues |
2 3- 5- -3 11- -5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-18525,-1291419] |
[a1,a2,a3,a4,a6] |
j |
-1543088435200/688294827 |
j-invariant |
L |
1.6022901267482 |
L(r)(E,1)/r! |
Ω |
0.20028626583815 |
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 |
14025v1 42075bq1 |
Quadratic twists by: -3 5 |