Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952dh |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-2912502199493376 = -1 · 28 · 39 · 76 · 173 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -3 1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10584,2630124] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:918:1] [-14:1666:1] |
Generators of the group modulo torsion |
j |
-221184/4913 |
j-invariant |
L |
9.6594336290203 |
L(r)(E,1)/r! |
Ω |
0.37924670841532 |
Real period |
R |
1.0612521936536 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29988q2 119952cs1 2448j2 |
Quadratic twists by: -4 -3 -7 |