Atkin-Lehner |
2+ 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928bi |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-46891440219456 = -1 · 26 · 36 · 72 · 295 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -3 -3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8313,153092] |
[a1,a2,a3,a4,a6] |
Generators |
[512:11774:1] |
Generators of the group modulo torsion |
j |
1361725440704/1005046301 |
j-invariant |
L |
5.3525248818237 |
L(r)(E,1)/r! |
Ω |
0.40641631721338 |
Real period |
R |
1.3170054016237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116928cg1 58464h1 12992c1 |
Quadratic twists by: -4 8 -3 |