Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
17100s |
Isogeny class |
Conductor |
17100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
12116854800 = 24 · 313 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 2 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-705,4885] |
[a1,a2,a3,a4,a6] |
Generators |
[44:243:1] |
Generators of the group modulo torsion |
j |
132893440/41553 |
j-invariant |
L |
4.2305996433835 |
L(r)(E,1)/r! |
Ω |
1.1737731528967 |
Real period |
R |
0.9010684119293 |
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 |
68400fn1 5700l1 17100bd1 |
Quadratic twists by: -4 -3 5 |