Atkin-Lehner |
3- 5- 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
128775f |
Isogeny class |
Conductor |
128775 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
57888 |
Modular degree for the optimal curve |
Δ |
492564375 = 33 · 54 · 172 · 101 |
Discriminant |
Eigenvalues |
-1 3- 5- -1 -6 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-213,-558] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:14:1] [-9:30:1] |
Generators of the group modulo torsion |
j |
1710448225/788103 |
j-invariant |
L |
8.6827433779579 |
L(r)(E,1)/r! |
Ω |
1.3059081291922 |
Real period |
R |
0.36937868781572 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000019484 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128775b1 |
Quadratic twists by: 5 |