Atkin-Lehner |
2+ 3- 23- 73- |
Signs for the Atkin-Lehner involutions |
Class |
120888c |
Isogeny class |
Conductor |
120888 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.5010097304824E+28 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-723816219,-4629722433050] |
[a1,a2,a3,a4,a6] |
j |
56179925420105934847412068/20107404868645557358281 |
j-invariant |
L |
5.7543367596469 |
L(r)(E,1)/r! |
Ω |
0.029970505451681 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40296j2 |
Quadratic twists by: -3 |