Atkin-Lehner |
2+ 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
87024v |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1566720 |
Modular degree for the optimal curve |
Δ |
-8058965316665001984 = -1 · 211 · 317 · 77 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 0 2 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-779704,298385872] |
[a1,a2,a3,a4,a6] |
Generators |
[60114:14737142:1] |
Generators of the group modulo torsion |
j |
-217568172289106/33447302217 |
j-invariant |
L |
7.5405013035197 |
L(r)(E,1)/r! |
Ω |
0.22528071335388 |
Real period |
R |
8.3678948748608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957616 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43512p1 12432n1 |
Quadratic twists by: -4 -7 |