Atkin-Lehner |
5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71825b |
Isogeny class |
Conductor |
71825 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
28080 |
Modular degree for the optimal curve |
Δ |
-2051393825 = -1 · 52 · 136 · 17 |
Discriminant |
Eigenvalues |
1 1 5+ 1 4 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-511,4903] |
[a1,a2,a3,a4,a6] |
Generators |
[2429:12571:343] |
Generators of the group modulo torsion |
j |
-121945/17 |
j-invariant |
L |
9.7505900277354 |
L(r)(E,1)/r! |
Ω |
1.4234370655775 |
Real period |
R |
6.85003240712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990092 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71825q1 425c1 |
Quadratic twists by: 5 13 |