Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
101640cr |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
-190178604000000 = -1 · 28 · 36 · 56 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ -6 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9500,750000] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:1050:1] [-110:690:1] |
Generators of the group modulo torsion |
j |
-278305777136/558140625 |
j-invariant |
L |
13.702363093507 |
L(r)(E,1)/r! |
Ω |
0.50491082338689 |
Real period |
R |
0.18845961475916 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997103 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101640bj2 |
Quadratic twists by: -11 |