Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
18228d |
Isogeny class |
Conductor |
18228 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-40880936171376 = -1 · 24 · 36 · 76 · 313 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 0 -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12294802,16597309429] |
[a1,a2,a3,a4,a6] |
Generators |
[2107:6453:1] |
Generators of the group modulo torsion |
j |
-109189315135671400192/21717639 |
j-invariant |
L |
2.9052517537738 |
L(r)(E,1)/r! |
Ω |
0.37528004363569 |
Real period |
R |
3.8707783734354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72912de2 54684n2 372c2 |
Quadratic twists by: -4 -3 -7 |