Atkin-Lehner |
5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71825f |
Isogeny class |
Conductor |
71825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
52086171337890625 = 511 · 137 · 17 |
Discriminant |
Eigenvalues |
-1 0 5+ -2 4 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-60787980,-182405737978] |
[a1,a2,a3,a4,a6] |
Generators |
[21919163035827060:-457224596549230342:2385156564881] |
Generators of the group modulo torsion |
j |
329379602649536529/690625 |
j-invariant |
L |
2.8072129207477 |
L(r)(E,1)/r! |
Ω |
0.054068600347807 |
Real period |
R |
25.959733580219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002062 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14365a1 5525c1 |
Quadratic twists by: 5 13 |