Atkin-Lehner |
2+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59488b |
Isogeny class |
Conductor |
59488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-83759104 = -1 · 212 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 0 -1 2 11+ 13+ -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,52,416] |
[a1,a2,a3,a4,a6] |
Generators |
[10:44:1] |
Generators of the group modulo torsion |
j |
22464/121 |
j-invariant |
L |
4.8628578730842 |
L(r)(E,1)/r! |
Ω |
1.384357806921 |
Real period |
R |
0.4390896855479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000145 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59488s1 118976y1 59488r1 |
Quadratic twists by: -4 8 13 |