Atkin-Lehner |
2- 3+ 5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
126480w |
Isogeny class |
Conductor |
126480 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-379440 = -1 · 24 · 32 · 5 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -1 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-101,-360] |
[a1,a2,a3,a4,a6] |
Generators |
[56:408:1] |
Generators of the group modulo torsion |
j |
-7192182784/23715 |
j-invariant |
L |
5.3700052795499 |
L(r)(E,1)/r! |
Ω |
0.7522214871155 |
Real period |
R |
3.5694309307811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999883303 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31620h1 |
Quadratic twists by: -4 |