Atkin-Lehner |
2- 3- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
80496bh |
Isogeny class |
Conductor |
80496 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
65097437184 = 212 · 37 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -2 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1011,-1550] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:90:1] [-18:104:1] |
Generators of the group modulo torsion |
j |
38272753/21801 |
j-invariant |
L |
9.2454357350763 |
L(r)(E,1)/r! |
Ω |
0.91557015992101 |
Real period |
R |
1.2622511277542 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998799 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5031c1 26832r1 |
Quadratic twists by: -4 -3 |