Atkin-Lehner |
2+ 5- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
21350l |
Isogeny class |
Conductor |
21350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110080 |
Modular degree for the optimal curve |
Δ |
4576906250000 = 24 · 59 · 74 · 61 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-381242,-90509084] |
[a1,a2,a3,a4,a6] |
j |
3137592451312773/2343376 |
j-invariant |
L |
1.5370546988921 |
L(r)(E,1)/r! |
Ω |
0.19213183736152 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21350ba1 |
Quadratic twists by: 5 |