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 |
deg |
13009920 |
Modular degree for the optimal curve |
Δ |
6.0623500005647E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7767923403,263514839196598] |
[a1,a2,a3,a4,a6] |
Generators |
[1942518495152198065071651832645224934:301594993913519132884381437805783287234:54150073171255256996868370880669] |
Generators of the group modulo torsion |
j |
69440210808984840670969773604/81210749964697265625 |
j-invariant |
L |
5.4573916538485 |
L(r)(E,1)/r! |
Ω |
0.052639014126819 |
Real period |
R |
51.837897654204 |
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 |
38160e1 6360h1 95400x1 |
Quadratic twists by: -4 -3 5 |