Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296ci |
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] |
Generators |
[461:1757:1] |
Generators of the group modulo torsion |
j |
305612563186948/663 |
j-invariant |
L |
7.167818965656 |
L(r)(E,1)/r! |
Ω |
0.76392178293519 |
Real period |
R |
4.6914612696267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000070212 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296j4 31824n4 42432bn4 |
Quadratic twists by: -4 8 -3 |