Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
23744be |
Isogeny class |
Conductor |
23744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-25338417577984 = -1 · 216 · 72 · 534 |
Discriminant |
Eigenvalues |
2- 0 2 7- -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,436,-242160] |
[a1,a2,a3,a4,a6] |
Generators |
[112740:4732035:64] |
Generators of the group modulo torsion |
j |
139863132/386633569 |
j-invariant |
L |
5.7844326896853 |
L(r)(E,1)/r! |
Ω |
0.31115379572321 |
Real period |
R |
9.295134382405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23744a3 5936e4 |
Quadratic twists by: -4 8 |