Atkin-Lehner |
3- 7- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
63189i |
Isogeny class |
Conductor |
63189 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
89534579337 = 37 · 74 · 172 · 59 |
Discriminant |
Eigenvalues |
1 3- -2 7- 4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9738,-367169] |
[a1,a2,a3,a4,a6] |
Generators |
[278:4145:1] |
Generators of the group modulo torsion |
j |
140097562913953/122818353 |
j-invariant |
L |
6.0134441074847 |
L(r)(E,1)/r! |
Ω |
0.48062114982625 |
Real period |
R |
1.5639771860954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993668 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21063a1 |
Quadratic twists by: -3 |