Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400gp |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
1.58233264128E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -1 -3 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3460833,-1573070463] |
[a1,a2,a3,a4,a6] |
Generators |
[-127845:3740904:125] |
Generators of the group modulo torsion |
j |
1790712239425/618098688 |
j-invariant |
L |
3.5664450167458 |
L(r)(E,1)/r! |
Ω |
0.11380563385195 |
Real period |
R |
7.8345088694034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071615 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400db1 27600cz1 110400jb1 |
Quadratic twists by: -4 8 5 |