Atkin-Lehner |
2- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23408i |
Isogeny class |
Conductor |
23408 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1049870063266906112 = 214 · 73 · 11 · 198 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11+ 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1331291,-589172726] |
[a1,a2,a3,a4,a6] |
Generators |
[-689:1002:1] |
Generators of the group modulo torsion |
j |
63706354251539629617/256315933414772 |
j-invariant |
L |
4.3807442479882 |
L(r)(E,1)/r! |
Ω |
0.14058416768647 |
Real period |
R |
5.1935011840003 |
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 |
2926a4 93632bc3 |
Quadratic twists by: -4 8 |