Atkin-Lehner |
2+ 3+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
59472g |
Isogeny class |
Conductor |
59472 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
47978203392 = 28 · 33 · 76 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1431,17974] |
[a1,a2,a3,a4,a6] |
Generators |
[6:98:1] |
Generators of the group modulo torsion |
j |
46885535856/6941291 |
j-invariant |
L |
6.1659066050546 |
L(r)(E,1)/r! |
Ω |
1.0849108258428 |
Real period |
R |
0.94722172213821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000207 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29736a1 59472e1 |
Quadratic twists by: -4 -3 |