Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280fm |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-53803699200 = -1 · 210 · 37 · 52 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,528,10136] |
[a1,a2,a3,a4,a6] |
Generators |
[17:155:1] |
Generators of the group modulo torsion |
j |
21807104/72075 |
j-invariant |
L |
7.7614474186682 |
L(r)(E,1)/r! |
Ω |
0.79275954568413 |
Real period |
R |
1.2238022645145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001131 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280bx1 22320bm1 29760bt1 |
Quadratic twists by: -4 8 -3 |