Atkin-Lehner |
2+ 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
99600w |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
126056250000000000 = 210 · 35 · 514 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-126408,-2770812] |
[a1,a2,a3,a4,a6] |
j |
13961460287236/7878515625 |
j-invariant |
L |
5.4553053169288 |
L(r)(E,1)/r! |
Ω |
0.27276527871346 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49800z1 19920c1 |
Quadratic twists by: -4 5 |