Atkin-Lehner |
2+ 5- 29- 73- |
Signs for the Atkin-Lehner involutions |
Class |
21170d |
Isogeny class |
Conductor |
21170 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
98784 |
Modular degree for the optimal curve |
Δ |
-17803970000000 = -1 · 27 · 57 · 293 · 73 |
Discriminant |
Eigenvalues |
2+ 3 5- 2 3 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14419,-693067] |
[a1,a2,a3,a4,a6] |
j |
-331547746028487561/17803970000000 |
j-invariant |
L |
4.5603654104514 |
L(r)(E,1)/r! |
Ω |
0.21716025764054 |
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 |
105850j1 |
Quadratic twists by: 5 |