Atkin-Lehner |
3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18975r |
Isogeny class |
Conductor |
18975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-3699569091796875 = -1 · 32 · 513 · 114 · 23 |
Discriminant |
Eigenvalues |
0 3- 5+ 5 11- 4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,24617,-2512481] |
[a1,a2,a3,a4,a6] |
j |
105582373535744/236772421875 |
j-invariant |
L |
3.6747112754474 |
L(r)(E,1)/r! |
Ω |
0.22966945471546 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56925j1 3795f1 |
Quadratic twists by: -3 5 |