Atkin-Lehner |
2+ 3- 7+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20706i |
Isogeny class |
Conductor |
20706 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-10063116 = -1 · 22 · 36 · 7 · 17 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -1 -2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10,152] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:11:1] [1:11:1] |
Generators of the group modulo torsion |
j |
-95443993/10063116 |
j-invariant |
L |
5.5956435620099 |
L(r)(E,1)/r! |
Ω |
1.8816837048365 |
Real period |
R |
0.24781190854177 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62118bn1 |
Quadratic twists by: -3 |