Atkin-Lehner |
2- 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
79800z |
Isogeny class |
Conductor |
79800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
5731236000000 = 28 · 34 · 56 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5108,82212] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:378:1] [-59:418:1] |
Generators of the group modulo torsion |
j |
3685542352/1432809 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
3192i2 |
Quadratic twists by: 5 |