Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840dx |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
11888640000 = 214 · 33 · 54 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2652,-52304] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:16:1] |
Generators of the group modulo torsion |
j |
4662947952/26875 |
j-invariant |
L |
7.8630859734998 |
L(r)(E,1)/r! |
Ω |
0.66551356132024 |
Real period |
R |
1.4768831320593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999370925 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840v2 30960a2 123840dm2 |
Quadratic twists by: -4 8 -3 |