Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960ea |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-634521600000000 = -1 · 217 · 36 · 58 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18612,716688] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:441:1] |
Generators of the group modulo torsion |
j |
7462174302/6640625 |
j-invariant |
L |
5.2495762867658 |
L(r)(E,1)/r! |
Ω |
0.33425640311273 |
Real period |
R |
3.9263094422929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960be3 12240r4 5440v4 |
Quadratic twists by: -4 8 -3 |