Atkin-Lehner |
2+ 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
21350c |
Isogeny class |
Conductor |
21350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
2.5029956054688E+20 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -3 4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-55401500,158694634000] |
[a1,a2,a3,a4,a6] |
j |
1203561449527428120507841/16019171875000000 |
j-invariant |
L |
0.63886828411342 |
L(r)(E,1)/r! |
Ω |
0.15971707102836 |
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 |
4270i1 |
Quadratic twists by: 5 |