Atkin-Lehner |
2- 3- 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
105336bl |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7708111508579328 = -1 · 210 · 37 · 74 · 11 · 194 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46731,5741206] |
[a1,a2,a3,a4,a6] |
Generators |
[99:-1444:1] |
Generators of the group modulo torsion |
j |
-15118595620132/10325723793 |
j-invariant |
L |
4.502874180427 |
L(r)(E,1)/r! |
Ω |
0.38416175554626 |
Real period |
R |
1.4651621784697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999629119 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35112g3 |
Quadratic twists by: -3 |