Atkin-Lehner |
2- 3- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
45540x |
Isogeny class |
Conductor |
45540 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
425952087264000 = 28 · 314 · 53 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-135327,-19135546] |
[a1,a2,a3,a4,a6] |
Generators |
[-217:110:1] |
Generators of the group modulo torsion |
j |
1468620483680464/2282407875 |
j-invariant |
L |
5.8580057779334 |
L(r)(E,1)/r! |
Ω |
0.24893959443586 |
Real period |
R |
1.3073242373445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15180c2 |
Quadratic twists by: -3 |