Atkin-Lehner |
2- 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
79800z |
Isogeny class |
Conductor |
79800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-102642750000 = -1 · 24 · 32 · 56 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1017,8712] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:75:1] [12:150:1] |
Generators of the group modulo torsion |
j |
464857088/410571 |
j-invariant |
L |
8.6771686775457 |
L(r)(E,1)/r! |
Ω |
0.69131397906149 |
Real period |
R |
1.5689630436327 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999913 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3192i1 |
Quadratic twists by: 5 |