Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30912z |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
146573328384 = 215 · 34 · 74 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1569,14751] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:189:1] |
Generators of the group modulo torsion |
j |
13044257864/4473063 |
j-invariant |
L |
5.677228547909 |
L(r)(E,1)/r! |
Ω |
0.9475931924645 |
Real period |
R |
1.4978021668623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30912f4 15456m3 92736ck4 |
Quadratic twists by: -4 8 -3 |