Atkin-Lehner |
2+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
23744r |
Isogeny class |
Conductor |
23744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-170196992 = -1 · 216 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ -1 2 7- 2 -1 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,63,577] |
[a1,a2,a3,a4,a6] |
Generators |
[3:28:1] |
Generators of the group modulo torsion |
j |
415292/2597 |
j-invariant |
L |
5.1951336550396 |
L(r)(E,1)/r! |
Ω |
1.3114804741914 |
Real period |
R |
0.99031852880669 |
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 |
23744ba1 2968f1 |
Quadratic twists by: -4 8 |