Atkin-Lehner |
5+ 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
32825b |
Isogeny class |
Conductor |
32825 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
69840 |
Modular degree for the optimal curve |
Δ |
-2166962890625 = -1 · 510 · 133 · 101 |
Discriminant |
Eigenvalues |
-1 3 5+ 0 -2 13+ -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2070,60322] |
[a1,a2,a3,a4,a6] |
Generators |
[464010:5542918:3375] |
Generators of the group modulo torsion |
j |
100491975/221897 |
j-invariant |
L |
6.0330635086513 |
L(r)(E,1)/r! |
Ω |
0.57174398251274 |
Real period |
R |
10.552036738781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32825i1 |
Quadratic twists by: 5 |