Atkin-Lehner |
2+ 3- 5+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
23790f |
Isogeny class |
Conductor |
23790 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
2821113360 = 24 · 36 · 5 · 13 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1069,-13288] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:23:1] [-17:14:1] |
Generators of the group modulo torsion |
j |
134918869850569/2821113360 |
j-invariant |
L |
5.9848929209812 |
L(r)(E,1)/r! |
Ω |
0.83609576345224 |
Real period |
R |
1.1930238103087 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71370ba1 118950bg1 |
Quadratic twists by: -3 5 |