Atkin-Lehner |
2+ 3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
92352u |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
17731584 = 212 · 32 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 0 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2569,49271] |
[a1,a2,a3,a4,a6] |
Generators |
[25:36:1] |
Generators of the group modulo torsion |
j |
457957438912/4329 |
j-invariant |
L |
6.9294825742662 |
L(r)(E,1)/r! |
Ω |
1.9719456629396 |
Real period |
R |
1.7570166113965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001665 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92352d2 46176r1 |
Quadratic twists by: -4 8 |