Atkin-Lehner |
2+ 41- 73- |
Signs for the Atkin-Lehner involutions |
Class |
23944c |
Isogeny class |
Conductor |
23944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1408 |
Modular degree for the optimal curve |
Δ |
47888 = 24 · 41 · 73 |
Discriminant |
Eigenvalues |
2+ 0 0 -1 -3 -5 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35,79] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1:1] |
Generators of the group modulo torsion |
j |
296352000/2993 |
j-invariant |
L |
4.0701034697657 |
L(r)(E,1)/r! |
Ω |
3.5933047860499 |
Real period |
R |
0.56634542741363 |
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 |
47888e1 |
Quadratic twists by: -4 |