Atkin-Lehner |
2+ 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040w |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
34659417836160000 = 210 · 38 · 54 · 134 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-620776,187836740] |
[a1,a2,a3,a4,a6] |
Generators |
[3770:-3315:8] [-616:18354:1] |
Generators of the group modulo torsion |
j |
25836234020391349156/33847087730625 |
j-invariant |
L |
9.7432058761421 |
L(r)(E,1)/r! |
Ω |
0.36667538754723 |
Real period |
R |
0.83036711481012 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26520p2 |
Quadratic twists by: -4 |