Atkin-Lehner |
2- 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
30912cb |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-121147342848 = -1 · 214 · 38 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1071,10287] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:84:1] [-1:96:1] |
Generators of the group modulo torsion |
j |
8284506032/7394247 |
j-invariant |
L |
8.6161184182119 |
L(r)(E,1)/r! |
Ω |
0.68255291576805 |
Real period |
R |
0.78896066326566 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30912j1 7728b1 92736dv1 |
Quadratic twists by: -4 8 -3 |