Atkin-Lehner |
2+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129200d |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
98192000000 = 210 · 56 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 4 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1408,13188] |
[a1,a2,a3,a4,a6] |
Generators |
[8:50:1] |
Generators of the group modulo torsion |
j |
19307236/6137 |
j-invariant |
L |
4.8505985424557 |
L(r)(E,1)/r! |
Ω |
0.98490129552259 |
Real period |
R |
1.2312397721406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999087432 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64600c1 5168b1 |
Quadratic twists by: -4 5 |