Atkin-Lehner |
2+ 3- 5- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
119850bo |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-8471956800000000 = -1 · 212 · 3 · 58 · 17 · 473 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -3 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-151576,-23154202] |
[a1,a2,a3,a4,a6] |
Generators |
[3894:32411:8] [1353:46747:1] |
Generators of the group modulo torsion |
j |
-985940904825625/21688209408 |
j-invariant |
L |
10.011405873694 |
L(r)(E,1)/r! |
Ω |
0.12082224672496 |
Real period |
R |
41.430308339605 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001495 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119850bu2 |
Quadratic twists by: 5 |