Atkin-Lehner |
2+ 3- 103- |
Signs for the Atkin-Lehner involutions |
Class |
59328t |
Isogeny class |
Conductor |
59328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-1889626226688 = -1 · 223 · 37 · 103 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 1 4 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,564,-65936] |
[a1,a2,a3,a4,a6] |
Generators |
[110:1152:1] |
Generators of the group modulo torsion |
j |
103823/9888 |
j-invariant |
L |
5.5439817818387 |
L(r)(E,1)/r! |
Ω |
0.39544202029962 |
Real period |
R |
0.87623176996947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999274 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59328bh1 1854c1 19776t1 |
Quadratic twists by: -4 8 -3 |