Atkin-Lehner |
2- 3+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30912bh |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
696597221376 = 212 · 38 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34777,2507545] |
[a1,a2,a3,a4,a6] |
j |
1135671162482368/170067681 |
j-invariant |
L |
1.748724064959 |
L(r)(E,1)/r! |
Ω |
0.87436203247807 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30912ck2 15456r1 92736er2 |
Quadratic twists by: -4 8 -3 |