Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32175q |
Isogeny class |
Conductor |
32175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
24432890625 = 37 · 57 · 11 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10130,394872] |
[a1,a2,a3,a4,a6] |
Generators |
[68:96:1] |
Generators of the group modulo torsion |
j |
10091699281/2145 |
j-invariant |
L |
2.7638721582301 |
L(r)(E,1)/r! |
Ω |
1.1636662074261 |
Real period |
R |
2.3751417207035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10725b1 6435j1 |
Quadratic twists by: -3 5 |