Atkin-Lehner |
3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42075bm |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
7063821200390625 = 39 · 58 · 11 · 174 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-56480,-3201478] |
[a1,a2,a3,a4,a6] |
j |
1749254553649/620143425 |
j-invariant |
L |
1.2750132163792 |
L(r)(E,1)/r! |
Ω |
0.31875330412031 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14025p1 8415q1 |
Quadratic twists by: -3 5 |