Atkin-Lehner |
2+ 3- 41- |
Signs for the Atkin-Lehner involutions |
Class |
23616q |
Isogeny class |
Conductor |
23616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3252596539392 = -1 · 215 · 310 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 -4 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4044,131632] |
[a1,a2,a3,a4,a6] |
Generators |
[6:328:1] |
Generators of the group modulo torsion |
j |
-306182024/136161 |
j-invariant |
L |
5.1602322600063 |
L(r)(E,1)/r! |
Ω |
0.74451754998869 |
Real period |
R |
0.86637183033576 |
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 |
23616p2 11808i2 7872l2 |
Quadratic twists by: -4 8 -3 |