Atkin-Lehner |
2+ 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
59472u |
Isogeny class |
Conductor |
59472 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
376018678224 = 24 · 39 · 73 · 592 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27606,1765195] |
[a1,a2,a3,a4,a6] |
Generators |
[47:756:1] [99:50:1] |
Generators of the group modulo torsion |
j |
199474163304448/32237541 |
j-invariant |
L |
9.1366542317313 |
L(r)(E,1)/r! |
Ω |
0.92183387555833 |
Real period |
R |
1.6518981843293 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29736o1 19824j1 |
Quadratic twists by: -4 -3 |