Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
17100r |
Isogeny class |
Conductor |
17100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-55404000000 = -1 · 28 · 36 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -5 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4800,128500] |
[a1,a2,a3,a4,a6] |
Generators |
[29:117:1] |
Generators of the group modulo torsion |
j |
-4194304/19 |
j-invariant |
L |
5.466369452491 |
L(r)(E,1)/r! |
Ω |
1.1232716374519 |
Real period |
R |
2.4332357687279 |
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 |
68400fp1 1900b1 684a1 |
Quadratic twists by: -4 -3 5 |