Atkin-Lehner |
17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
17051b |
Isogeny class |
Conductor |
17051 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-411569689019 = -1 · 178 · 59 |
Discriminant |
Eigenvalues |
1 -1 -1 -3 -4 0 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2173,-50644] |
[a1,a2,a3,a4,a6] |
Generators |
[460:9596:1] |
Generators of the group modulo torsion |
j |
-47045881/17051 |
j-invariant |
L |
2.6668859841262 |
L(r)(E,1)/r! |
Ω |
0.34337298156253 |
Real period |
R |
1.9416830438948 |
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 |
1003b1 |
Quadratic twists by: 17 |