Atkin-Lehner |
2+ 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928cg |
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] |
j |
1361725440704/1005046301 |
j-invariant |
L |
3.5719199947152 |
L(r)(E,1)/r! |
Ω |
0.35719198496071 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116928bi1 58464bc1 12992l1 |
Quadratic twists by: -4 8 -3 |