Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400bj |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-4927635000000 = -1 · 26 · 34 · 57 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -2 -2 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2967,-87813] |
[a1,a2,a3,a4,a6] |
Generators |
[62:575:1] [102:1125:1] |
Generators of the group modulo torsion |
j |
2887553024/4927635 |
j-invariant |
L |
8.8449249369512 |
L(r)(E,1)/r! |
Ω |
0.40413891594445 |
Real period |
R |
0.91191054505517 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999979032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400hy1 1725p1 22080z1 |
Quadratic twists by: -4 8 5 |