Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960ea |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8629493760000 = 216 · 36 · 54 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5868,99792] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:288:1] |
Generators of the group modulo torsion |
j |
467720676/180625 |
j-invariant |
L |
5.2495762867658 |
L(r)(E,1)/r! |
Ω |
0.66851280622546 |
Real period |
R |
1.9631547211465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48960be2 12240r2 5440v2 |
Quadratic twists by: -4 8 -3 |