Atkin-Lehner |
2+ 3- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
59568k |
Isogeny class |
Conductor |
59568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
102933504 = 210 · 34 · 17 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -4 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33504,-2371644] |
[a1,a2,a3,a4,a6] |
Generators |
[255:2394:1] |
Generators of the group modulo torsion |
j |
4061876342822788/100521 |
j-invariant |
L |
6.7615625544283 |
L(r)(E,1)/r! |
Ω |
0.35287777800711 |
Real period |
R |
4.7903006193487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000386 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29784b1 |
Quadratic twists by: -4 |