Atkin-Lehner |
2+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59584bo |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-5627738567213056 = -1 · 220 · 710 · 19 |
Discriminant |
Eigenvalues |
2+ -2 -3 7- 3 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-233697,-43711361] |
[a1,a2,a3,a4,a6] |
Generators |
[97511858:3418235883:68921] |
Generators of the group modulo torsion |
j |
-19061833/76 |
j-invariant |
L |
3.2263941555317 |
L(r)(E,1)/r! |
Ω |
0.10854316686921 |
Real period |
R |
14.862262861341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584cp1 1862c1 59584g1 |
Quadratic twists by: -4 8 -7 |