Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160ct |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
-6966061301760 = -1 · 218 · 3 · 5 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-161,-127041] |
[a1,a2,a3,a4,a6] |
Generators |
[15009015:-604384768:9261] |
Generators of the group modulo torsion |
j |
-1/15 |
j-invariant |
L |
7.772628560543 |
L(r)(E,1)/r! |
Ω |
0.34031998523557 |
Real period |
R |
11.419588780511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999873705 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160ez1 1815a1 960g1 |
Quadratic twists by: -4 8 -11 |