Atkin-Lehner |
2- 3+ 5+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
119850bu |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-542205235200 = -1 · 212 · 3 · 52 · 17 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6063,-187659] |
[a1,a2,a3,a4,a6] |
Generators |
[219:-3118:1] |
Generators of the group modulo torsion |
j |
-985940904825625/21688209408 |
j-invariant |
L |
9.062435897089 |
L(r)(E,1)/r! |
Ω |
0.27016675687126 |
Real period |
R |
0.93177388265531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000097737 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119850bo2 |
Quadratic twists by: 5 |