Atkin-Lehner |
2+ 5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
21850c |
Isogeny class |
Conductor |
21850 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
7575076864000000 = 221 · 56 · 19 · 233 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 -3 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-198225,-33792875] |
[a1,a2,a3,a4,a6] |
j |
55129288688387857/484804919296 |
j-invariant |
L |
0.22638106531267 |
L(r)(E,1)/r! |
Ω |
0.22638106531267 |
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 |
874f1 |
Quadratic twists by: 5 |