Atkin-Lehner |
2+ 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19550d |
Isogeny class |
Conductor |
19550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
105600 |
Modular degree for the optimal curve |
Δ |
-5225073760000000 = -1 · 211 · 57 · 175 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 -2 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,33250,2592500] |
[a1,a2,a3,a4,a6] |
Generators |
[717535:14929270:2197] |
Generators of the group modulo torsion |
j |
260170604658719/334404720640 |
j-invariant |
L |
5.581747740157 |
L(r)(E,1)/r! |
Ω |
0.28918304673544 |
Real period |
R |
9.6508903325574 |
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 |
3910q1 |
Quadratic twists by: 5 |