Atkin-Lehner |
2- 5- 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
89680j |
Isogeny class |
Conductor |
89680 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
41439334400000000 = 218 · 58 · 193 · 59 |
Discriminant |
Eigenvalues |
2- 0 5- -4 -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108227,9585346] |
[a1,a2,a3,a4,a6] |
Generators |
[-353:1950:1] [-153:4750:1] |
Generators of the group modulo torsion |
j |
34227141059513241/10117025000000 |
j-invariant |
L |
10.003395074671 |
L(r)(E,1)/r! |
Ω |
0.33621971403791 |
Real period |
R |
1.2396897346914 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000423 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11210b1 |
Quadratic twists by: -4 |