Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160je |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-418176000 = -1 · 210 · 33 · 53 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-425,3375] |
[a1,a2,a3,a4,a6] |
Generators |
[10:15:1] |
Generators of the group modulo torsion |
j |
-68679424/3375 |
j-invariant |
L |
10.643286208156 |
L(r)(E,1)/r! |
Ω |
1.661085141403 |
Real period |
R |
0.71193662656032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037729 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160ce1 29040cf1 116160jh1 |
Quadratic twists by: -4 8 -11 |