Atkin-Lehner |
2+ 3+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
111552b |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-913833984 = -1 · 219 · 3 · 7 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ -3 -2 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3841,92929] |
[a1,a2,a3,a4,a6] |
Generators |
[33:32:1] |
Generators of the group modulo torsion |
j |
-23912763841/3486 |
j-invariant |
L |
2.5358416866753 |
L(r)(E,1)/r! |
Ω |
1.5192713034562 |
Real period |
R |
0.4172792703465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011109 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111552dm1 3486l1 |
Quadratic twists by: -4 8 |