Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296j |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
31675318272 = 216 · 37 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-509196,-139854224] |
[a1,a2,a3,a4,a6] |
j |
305612563186948/663 |
j-invariant |
L |
1.429777262309 |
L(r)(E,1)/r! |
Ω |
0.17872212061295 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296ci4 15912h3 42432t4 |
Quadratic twists by: -4 8 -3 |