Atkin-Lehner |
2+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
5936f |
Isogeny class |
Conductor |
5936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2659328 = 210 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 4 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1128,14212] |
[a1,a2,a3,a4,a6] |
Generators |
[18:8:1] |
Generators of the group modulo torsion |
j |
155144366500/2597 |
j-invariant |
L |
2.9871682962949 |
L(r)(E,1)/r! |
Ω |
2.3474543430755 |
Real period |
R |
0.63625695321965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2968e2 23744bf2 53424i2 41552m2 |
Quadratic twists by: -4 8 -3 -7 |