Atkin-Lehner |
2+ 3+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
59472b |
Isogeny class |
Conductor |
59472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
133120 |
Modular degree for the optimal curve |
Δ |
87979602093264 = 24 · 33 · 75 · 594 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 2 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13326,383315] |
[a1,a2,a3,a4,a6] |
Generators |
[12369:256742:27] |
Generators of the group modulo torsion |
j |
605814120953856/203656486327 |
j-invariant |
L |
4.6742100785646 |
L(r)(E,1)/r! |
Ω |
0.55681238283443 |
Real period |
R |
8.3945871583499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29736m1 59472d1 |
Quadratic twists by: -4 -3 |