Atkin-Lehner |
5+ 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
115885d |
Isogeny class |
Conductor |
115885 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-417502332787180795 = -1 · 5 · 77 · 119 · 43 |
Discriminant |
Eigenvalues |
0 2 5+ 7- 11+ 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-12647161,17315863277] |
[a1,a2,a3,a4,a6] |
Generators |
[3549324:294263:1728] |
Generators of the group modulo torsion |
j |
-1901580205855483887616/3548711274955 |
j-invariant |
L |
7.812883859039 |
L(r)(E,1)/r! |
Ω |
0.25609657684149 |
Real period |
R |
7.6268921381653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999980731 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16555f3 |
Quadratic twists by: -7 |