Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
19080c |
Isogeny class |
Conductor |
19080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.771263270835E+30 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7831696323,258967970301022] |
[a1,a2,a3,a4,a6] |
Generators |
[1790947169272150508722412801646376250789419179070412163909176840602957842:171325690460552529507953452898624597122864039712363824596503910386376953125:26220650601011724076021673802021943989687497499666190849855787900552] |
Generators of the group modulo torsion |
j |
35582278051048562951272122242/1186384971141815185546875 |
j-invariant |
L |
5.4573916538485 |
L(r)(E,1)/r! |
Ω |
0.026319507063409 |
Real period |
R |
103.67579530841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38160e2 6360h2 95400x2 |
Quadratic twists by: -4 -3 5 |