Atkin-Lehner |
2- 3- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
58656v |
Isogeny class |
Conductor |
58656 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
2032201196752896 = 212 · 37 · 136 · 47 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 -5 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-376461,88753563] |
[a1,a2,a3,a4,a6] |
Generators |
[369:-468:1] [81:7668:1] |
Generators of the group modulo torsion |
j |
1440538574922095104/496142870301 |
j-invariant |
L |
10.200936130895 |
L(r)(E,1)/r! |
Ω |
0.45649437737772 |
Real period |
R |
0.26602675051924 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999907 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58656s1 117312bq1 |
Quadratic twists by: -4 8 |