Atkin-Lehner |
2- 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30912bx |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-19657064448 = -1 · 216 · 34 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 -4 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,511,5247] |
[a1,a2,a3,a4,a6] |
Generators |
[7:96:1] |
Generators of the group modulo torsion |
j |
224727548/299943 |
j-invariant |
L |
5.964733729456 |
L(r)(E,1)/r! |
Ω |
0.82105724654797 |
Real period |
R |
0.90808737066354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30912q1 7728a1 92736eo1 |
Quadratic twists by: -4 8 -3 |