Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92480dk |
Isogeny class |
Conductor |
92480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
2689195527372800 = 218 · 52 · 177 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-157601,23899615] |
[a1,a2,a3,a4,a6] |
Generators |
[-363:5780:1] [181:1156:1] |
Generators of the group modulo torsion |
j |
68417929/425 |
j-invariant |
L |
6.5868319601546 |
L(r)(E,1)/r! |
Ω |
0.45720303808585 |
Real period |
R |
1.8008497896542 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000646 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92480n1 23120bh1 5440x1 |
Quadratic twists by: -4 8 17 |