Atkin-Lehner |
3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
32175f |
Isogeny class |
Conductor |
32175 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-9892637971734375 = -1 · 39 · 56 · 114 · 133 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 11- 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3670,4783672] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:1840:1] |
Generators of the group modulo torsion |
j |
17779581/32166277 |
j-invariant |
L |
3.8549328129033 |
L(r)(E,1)/r! |
Ω |
0.31975378112161 |
Real period |
R |
0.50233088714144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32175b1 1287b1 |
Quadratic twists by: -3 5 |