Atkin-Lehner |
2+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
23744i |
Isogeny class |
Conductor |
23744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-8809024 = -1 · 26 · 72 · 532 |
Discriminant |
Eigenvalues |
2+ -2 2 7+ 0 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,48,-50] |
[a1,a2,a3,a4,a6] |
j |
187149248/137641 |
j-invariant |
L |
1.2990017069351 |
L(r)(E,1)/r! |
Ω |
1.299001706935 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23744s1 11872d2 |
Quadratic twists by: -4 8 |