Atkin-Lehner |
2- 3- 5+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
126480br |
Isogeny class |
Conductor |
126480 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-175028083200000 = -1 · 212 · 33 · 55 · 17 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -5 -1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5016,-652716] |
[a1,a2,a3,a4,a6] |
j |
-3408183162649/42731465625 |
j-invariant |
L |
1.4618617258132 |
L(r)(E,1)/r! |
Ω |
0.24364351092993 |
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 |
7905b1 |
Quadratic twists by: -4 |