Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30912z |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
30912 = 26 · 3 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-644,-6510] |
[a1,a2,a3,a4,a6] |
Generators |
[795:820:27] |
Generators of the group modulo torsion |
j |
462248527168/483 |
j-invariant |
L |
5.677228547909 |
L(r)(E,1)/r! |
Ω |
0.9475931924645 |
Real period |
R |
5.9912086674491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30912f1 15456m2 92736ck1 |
Quadratic twists by: -4 8 -3 |