Atkin-Lehner |
2+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
94792f |
Isogeny class |
Conductor |
94792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
253347924224 = 28 · 176 · 41 |
Discriminant |
Eigenvalues |
2+ -2 -2 2 -2 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3564,77056] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:400:1] |
Generators of the group modulo torsion |
j |
810448/41 |
j-invariant |
L |
3.6149314075936 |
L(r)(E,1)/r! |
Ω |
0.97196343586449 |
Real period |
R |
3.719205150531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999745462 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
328b1 |
Quadratic twists by: 17 |