Atkin-Lehner |
2+ 3+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
71232d |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-54706176 = -1 · 214 · 32 · 7 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ -3 4 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-197,-1059] |
[a1,a2,a3,a4,a6] |
Generators |
[20:51:1] |
Generators of the group modulo torsion |
j |
-51868672/3339 |
j-invariant |
L |
3.5258284881715 |
L(r)(E,1)/r! |
Ω |
0.63453627552457 |
Real period |
R |
2.7782718051084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002708 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71232dg1 8904k1 |
Quadratic twists by: -4 8 |