Atkin-Lehner |
17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
15317g |
Isogeny class |
Conductor |
15317 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-1279291157 = -1 · 176 · 53 |
Discriminant |
Eigenvalues |
-1 3 0 4 0 -3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,90,1666] |
[a1,a2,a3,a4,a6] |
Generators |
[210:1309:27] |
Generators of the group modulo torsion |
j |
3375/53 |
j-invariant |
L |
5.9823578226952 |
L(r)(E,1)/r! |
Ω |
1.1369199517358 |
Real period |
R |
5.2618988817652 |
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 |
53a1 |
Quadratic twists by: 17 |