Atkin-Lehner |
2- 5+ 23+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
20470g |
Isogeny class |
Conductor |
20470 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2752 |
Modular degree for the optimal curve |
Δ |
-470810 = -1 · 2 · 5 · 232 · 89 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 5 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6,-34] |
[a1,a2,a3,a4,a6] |
Generators |
[62:129:8] |
Generators of the group modulo torsion |
j |
-24137569/470810 |
j-invariant |
L |
9.4265008696578 |
L(r)(E,1)/r! |
Ω |
1.2745510365329 |
Real period |
R |
3.6979691669704 |
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 |
102350e1 |
Quadratic twists by: 5 |