Atkin-Lehner |
2+ 3+ 11+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
104346g |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
87573006576 = 24 · 33 · 113 · 173 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -1 0 11+ -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1170,-5596] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:-71:1] [-16:102:1] |
Generators of the group modulo torsion |
j |
6563361299067/3243444688 |
j-invariant |
L |
8.4036882896624 |
L(r)(E,1)/r! |
Ω |
0.85868011658248 |
Real period |
R |
0.81556256378573 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001714 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104346bh1 |
Quadratic twists by: -3 |