Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72128k |
Isogeny class |
Conductor |
72128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-177335631872 = -1 · 216 · 76 · 23 |
Discriminant |
Eigenvalues |
2+ 0 0 7- -6 -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,980,-16464] |
[a1,a2,a3,a4,a6] |
Generators |
[142:1728:1] |
Generators of the group modulo torsion |
j |
13500/23 |
j-invariant |
L |
3.5636760948492 |
L(r)(E,1)/r! |
Ω |
0.53319815723253 |
Real period |
R |
3.3417933326818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003293 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72128bb1 9016f1 1472c1 |
Quadratic twists by: -4 8 -7 |