Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160gb |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-231507591480000 = -1 · 26 · 33 · 54 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 11- 2 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6211,-753839] |
[a1,a2,a3,a4,a6] |
Generators |
[40488:130075:343] |
Generators of the group modulo torsion |
j |
-1931776/16875 |
j-invariant |
L |
6.0841856843543 |
L(r)(E,1)/r! |
Ω |
0.23576725363299 |
Real period |
R |
4.3009829660617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054848 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160ig1 58080be1 116160gc1 |
Quadratic twists by: -4 8 -11 |