Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800je |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
75600000000 = 210 · 33 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1200,-9000] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:68:1] [-15:75:1] |
Generators of the group modulo torsion |
j |
442368/175 |
j-invariant |
L |
10.997029166926 |
L(r)(E,1)/r! |
Ω |
0.83919982607549 |
Real period |
R |
3.276046069666 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999464 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800y1 25200co1 100800ix1 20160cz1 |
Quadratic twists by: -4 8 -3 5 |