Atkin-Lehner |
2+ 3- 11- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
104346bf |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
1163395482433265664 = 213 · 36 · 113 · 173 · 313 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 11- -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22834431,42004140813] |
[a1,a2,a3,a4,a6] |
Generators |
[10734:933747:8] |
Generators of the group modulo torsion |
j |
1806203904759248590097137/1595878576726016 |
j-invariant |
L |
3.0473732922691 |
L(r)(E,1)/r! |
Ω |
0.22914856681658 |
Real period |
R |
2.2164465410103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000814 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
11594c2 |
Quadratic twists by: -3 |