Atkin-Lehner |
2+ 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
71232bn |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-26721122254848 = -1 · 224 · 34 · 7 · 532 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 0 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8289,379647] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:636:1] |
Generators of the group modulo torsion |
j |
-240293820313/101932992 |
j-invariant |
L |
5.9590359049022 |
L(r)(E,1)/r! |
Ω |
0.62563124701944 |
Real period |
R |
1.190604676094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986701 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71232by1 2226c1 |
Quadratic twists by: -4 8 |