Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160jk |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
-43405443675000000 = -1 · 26 · 315 · 58 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11- -2 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-329435,73355775] |
[a1,a2,a3,a4,a6] |
Generators |
[430:3375:1] |
Generators of the group modulo torsion |
j |
-510585996566086144/5605041796875 |
j-invariant |
L |
7.3935996101036 |
L(r)(E,1)/r! |
Ω |
0.36220473205396 |
Real period |
R |
0.17010636228548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000115545 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160gx1 58080bk1 116160jj1 |
Quadratic twists by: -4 8 -11 |