Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280dm |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
9676800 |
Modular degree for the optimal curve |
Δ |
-2.2713447315535E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 -1 4 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10994508,-15794537328] |
[a1,a2,a3,a4,a6] |
Generators |
[1214514:1338450048:1] |
Generators of the group modulo torsion |
j |
-28485240894685827/4402018257760 |
j-invariant |
L |
8.1275264905758 |
L(r)(E,1)/r! |
Ω |
0.041104864804373 |
Real period |
R |
3.5308327130281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020777 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89280i1 22320be1 89280dy1 |
Quadratic twists by: -4 8 -3 |