Atkin-Lehner |
7- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
23569b |
Isogeny class |
Conductor |
23569 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1632 |
Modular degree for the optimal curve |
Δ |
-23569 = -1 · 72 · 13 · 37 |
Discriminant |
Eigenvalues |
-1 2 -1 7- 0 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1,-8] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-5:8] |
Generators of the group modulo torsion |
j |
-2401/481 |
j-invariant |
L |
4.5027212495288 |
L(r)(E,1)/r! |
Ω |
1.6922630599507 |
Real period |
R |
2.6607690944102 |
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 |
23569a1 |
Quadratic twists by: -7 |