Atkin-Lehner |
5- 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
32825i |
Isogeny class |
Conductor |
32825 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
13968 |
Modular degree for the optimal curve |
Δ |
-138685625 = -1 · 54 · 133 · 101 |
Discriminant |
Eigenvalues |
1 -3 5- 0 -2 13- 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,83,466] |
[a1,a2,a3,a4,a6] |
Generators |
[14:58:1] |
Generators of the group modulo torsion |
j |
100491975/221897 |
j-invariant |
L |
3.2209557169067 |
L(r)(E,1)/r! |
Ω |
1.2784584106249 |
Real period |
R |
0.2799339936058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32825b1 |
Quadratic twists by: 5 |