Atkin-Lehner |
2- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
23744bl |
Isogeny class |
Conductor |
23744 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-33358610432 = -1 · 218 · 74 · 53 |
Discriminant |
Eigenvalues |
2- -1 0 7- 0 -1 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2273,43393] |
[a1,a2,a3,a4,a6] |
Generators |
[29:32:1] [-3:224:1] |
Generators of the group modulo torsion |
j |
-4956477625/127253 |
j-invariant |
L |
6.7393559441729 |
L(r)(E,1)/r! |
Ω |
1.163438151137 |
Real period |
R |
0.36203879518575 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23744h1 5936p1 |
Quadratic twists by: -4 8 |