Atkin-Lehner |
2+ 5+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
79120a |
Isogeny class |
Conductor |
79120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-1360864000 = -1 · 28 · 53 · 23 · 432 |
Discriminant |
Eigenvalues |
2+ 0 5+ -3 4 2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2348,-43828] |
[a1,a2,a3,a4,a6] |
Generators |
[42993:110123:729] |
Generators of the group modulo torsion |
j |
-5592139858944/5315875 |
j-invariant |
L |
4.7864056997073 |
L(r)(E,1)/r! |
Ω |
0.34290220704483 |
Real period |
R |
6.9792576413515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004595 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39560b1 |
Quadratic twists by: -4 |