Atkin-Lehner |
3+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18975j |
Isogeny class |
Conductor |
18975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-320963607421875 = -1 · 310 · 59 · 112 · 23 |
Discriminant |
Eigenvalues |
0 3+ 5- -1 11- 2 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,15667,411068] |
[a1,a2,a3,a4,a6] |
Generators |
[68:1336:1] |
Generators of the group modulo torsion |
j |
217732612096/164333367 |
j-invariant |
L |
3.4120613663553 |
L(r)(E,1)/r! |
Ω |
0.3472490153668 |
Real period |
R |
1.2282473150972 |
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 |
56925bd1 18975x1 |
Quadratic twists by: -3 5 |