Atkin-Lehner |
2- 3- 5+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
110550bx |
Isogeny class |
Conductor |
110550 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
deg |
409600 |
Modular degree for the optimal curve |
Δ |
31520016000000 = 210 · 35 · 56 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11413,382817] |
[a1,a2,a3,a4,a6] |
Generators |
[122:839:1] [-98:799:1] |
Generators of the group modulo torsion |
j |
10522174895497/2017281024 |
j-invariant |
L |
17.996036904126 |
L(r)(E,1)/r! |
Ω |
0.6253921768075 |
Real period |
R |
0.28775602852923 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999983267 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4422b1 |
Quadratic twists by: 5 |