Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
56350l |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-58942429481098450 = -1 · 2 · 52 · 713 · 233 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 -3 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,13123,-11669729] |
[a1,a2,a3,a4,a6] |
Generators |
[375:6586:1] |
Generators of the group modulo torsion |
j |
84972077055/20040095362 |
j-invariant |
L |
4.1596242335699 |
L(r)(E,1)/r! |
Ω |
0.16545092329051 |
Real period |
R |
4.1901894037684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56350bu1 8050j1 |
Quadratic twists by: 5 -7 |