Atkin-Lehner |
2- 5+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
88550bk |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
541440 |
Modular degree for the optimal curve |
Δ |
-1881911019326800 = -1 · 24 · 52 · 74 · 115 · 233 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11+ 4 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,13972,-1986848] |
[a1,a2,a3,a4,a6] |
Generators |
[218:3272:1] |
Generators of the group modulo torsion |
j |
12065838044850455/75276440773072 |
j-invariant |
L |
6.6511770440881 |
L(r)(E,1)/r! |
Ω |
0.23412627836744 |
Real period |
R |
1.1836876178173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004612 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88550z1 |
Quadratic twists by: 5 |