Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160bt |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
4145094328320 = 221 · 33 · 5 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11- 1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7905,254817] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:596:1] |
Generators of the group modulo torsion |
j |
14235529/1080 |
j-invariant |
L |
5.933939031033 |
L(r)(E,1)/r! |
Ω |
0.76330713493669 |
Real period |
R |
3.8869930247677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160iu1 3630i1 116160bo1 |
Quadratic twists by: -4 8 -11 |