Atkin-Lehner |
2- 3- 5+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
71910z |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
-16540510532940000 = -1 · 25 · 36 · 54 · 176 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,49162,4535781] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:687:1] [-43:1551:1] |
Generators of the group modulo torsion |
j |
18025739602266599/22689314860000 |
j-invariant |
L |
12.793544103054 |
L(r)(E,1)/r! |
Ω |
0.26230971547618 |
Real period |
R |
1.6257555284604 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999415 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7990b2 |
Quadratic twists by: -3 |