Atkin-Lehner |
2+ 3+ 11+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
110682d |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
5491200 |
Modular degree for the optimal curve |
Δ |
-4.51167291597E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -1 0 11+ 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2530725,3584611349] |
[a1,a2,a3,a4,a6] |
Generators |
[1897:73936:1] |
Generators of the group modulo torsion |
j |
-91068332000789333763/229216730984603648 |
j-invariant |
L |
4.3099055835698 |
L(r)(E,1)/r! |
Ω |
0.12178646067188 |
Real period |
R |
1.7694518557345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015745 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110682bg1 |
Quadratic twists by: -3 |