Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680bk |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
Δ |
-3.3784128E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -3 -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5723935,-7102677663] |
[a1,a2,a3,a4,a6] |
Generators |
[2579:157500:1] |
Generators of the group modulo torsion |
j |
79116632600119361351/128876220703125000 |
j-invariant |
L |
6.0608058779964 |
L(r)(E,1)/r! |
Ω |
0.061367757948679 |
Real period |
R |
0.54867808259139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000723 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680gb2 3990o2 |
Quadratic twists by: -4 8 |