Atkin-Lehner |
2- 7+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
104468d |
Isogeny class |
Conductor |
104468 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
44048024363468944 = 24 · 78 · 132 · 414 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ -1 13+ -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-101642,-7355419] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:1681:1] |
Generators of the group modulo torsion |
j |
1259050901248/477553609 |
j-invariant |
L |
4.4117304457134 |
L(r)(E,1)/r! |
Ω |
0.27603821754762 |
Real period |
R |
1.9977896782318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000070721 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104468t1 |
Quadratic twists by: -7 |