Atkin-Lehner |
2- 3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770cc |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.3416126928334E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,171785,-174011245] |
[a1,a2,a3,a4,a6] |
Generators |
[32419586:-651801829:54872] |
Generators of the group modulo torsion |
j |
116149984977671/2779502343750 |
j-invariant |
L |
8.1353679667155 |
L(r)(E,1)/r! |
Ω |
0.1083601529811 |
Real period |
R |
9.3846397207966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
330a4 |
Quadratic twists by: 13 |