Atkin-Lehner |
2- 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18810v |
Isogeny class |
Conductor |
18810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-92783901897843750 = -1 · 2 · 36 · 56 · 118 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11- 5 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18398,14691331] |
[a1,a2,a3,a4,a6] |
j |
-944682558225561/127275585593750 |
j-invariant |
L |
4.4376395638837 |
L(r)(E,1)/r! |
Ω |
0.27735247274273 |
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 |
2090g1 94050bc1 |
Quadratic twists by: -3 5 |