Atkin-Lehner |
2+ 5+ 29- 73- |
Signs for the Atkin-Lehner involutions |
Class |
21170a |
Isogeny class |
Conductor |
21170 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-211700 = -1 · 22 · 52 · 29 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5+ 0 -6 6 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1,22] |
[a1,a2,a3,a4,a6] |
Generators |
[1:4:1] |
Generators of the group modulo torsion |
j |
357911/211700 |
j-invariant |
L |
3.7551510055787 |
L(r)(E,1)/r! |
Ω |
2.4621202651926 |
Real period |
R |
0.38129240259563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105850h1 |
Quadratic twists by: 5 |