Atkin-Lehner |
2+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
23744d |
Isogeny class |
Conductor |
23744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-1361575936 = -1 · 219 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 0 1 7+ -3 -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-332,2928] |
[a1,a2,a3,a4,a6] |
Generators |
[14:32:1] [8:28:1] |
Generators of the group modulo torsion |
j |
-15438249/5194 |
j-invariant |
L |
7.6382569962669 |
L(r)(E,1)/r! |
Ω |
1.4363135552562 |
Real period |
R |
0.66474490966079 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23744bh1 742a1 |
Quadratic twists by: -4 8 |