Atkin-Lehner |
2+ 3+ 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
86730g |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
222163070806656000 = 210 · 36 · 53 · 79 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2568213,-1585052307] |
[a1,a2,a3,a4,a6] |
Generators |
[-18220194:1179937:19683] |
Generators of the group modulo torsion |
j |
15923145232068467401/1888354944000 |
j-invariant |
L |
3.2350685352476 |
L(r)(E,1)/r! |
Ω |
0.11926001595749 |
Real period |
R |
6.7815447350779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000606 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390k1 |
Quadratic twists by: -7 |