Atkin-Lehner |
2- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344cx |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
155648 |
Modular degree for the optimal curve |
Δ |
-3553075068928 = -1 · 216 · 7 · 114 · 232 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 11+ -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3647,33471] |
[a1,a2,a3,a4,a6] |
Generators |
[119:1472:1] |
Generators of the group modulo torsion |
j |
81833661500/54215623 |
j-invariant |
L |
3.4760382929841 |
L(r)(E,1)/r! |
Ω |
0.49552191719078 |
Real period |
R |
1.7537257880205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000098264 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344bt1 28336g1 |
Quadratic twists by: -4 8 |