Atkin-Lehner |
2+ 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360n |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-110388096000 = -1 · 210 · 36 · 53 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,699,14085] |
[a1,a2,a3,a4,a6] |
j |
36832722944/107800875 |
j-invariant |
L |
1.4854458211627 |
L(r)(E,1)/r! |
Ω |
0.74272290062949 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360fv1 5460g1 |
Quadratic twists by: -4 8 |