Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160ch |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-1003112827453440 = -1 · 222 · 33 · 5 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11455,-1452735] |
[a1,a2,a3,a4,a6] |
Generators |
[11680544281:396280142336:10218313] |
Generators of the group modulo torsion |
j |
357911/2160 |
j-invariant |
L |
7.4528119752729 |
L(r)(E,1)/r! |
Ω |
0.24697002795285 |
Real period |
R |
15.088494747949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048221 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160jn1 3630w1 960e1 |
Quadratic twists by: -4 8 -11 |