Atkin-Lehner |
2+ 3- 41- |
Signs for the Atkin-Lehner involutions |
Class |
23616p |
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 |
[226:3240:1] |
Generators of the group modulo torsion |
j |
-306182024/136161 |
j-invariant |
L |
6.8478797835963 |
L(r)(E,1)/r! |
Ω |
0.2930291133739 |
Real period |
R |
2.9211601642371 |
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 |
23616q2 11808p2 7872d2 |
Quadratic twists by: -4 8 -3 |