Atkin-Lehner |
3+ 5+ 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
21945a |
Isogeny class |
Conductor |
21945 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
142080 |
Modular degree for the optimal curve |
Δ |
-25669449204889875 = -1 · 3 · 53 · 75 · 118 · 19 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 11+ 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-131251,-19815534] |
[a1,a2,a3,a4,a6] |
j |
-250054620557414662144/25669449204889875 |
j-invariant |
L |
0.24937749202472 |
L(r)(E,1)/r! |
Ω |
0.12468874601238 |
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 |
65835bh1 109725bu1 |
Quadratic twists by: -3 5 |