Atkin-Lehner |
2+ 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17952b |
Isogeny class |
Conductor |
17952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
458806911552 = 26 · 33 · 11 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11+ 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3374,69168] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:370:1] |
Generators of the group modulo torsion |
j |
66390766775488/7168857993 |
j-invariant |
L |
4.0326733855404 |
L(r)(E,1)/r! |
Ω |
0.90825677976374 |
Real period |
R |
4.4400146251475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17952h1 35904cx1 53856bd1 |
Quadratic twists by: -4 8 -3 |