Atkin-Lehner |
2+ 5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
29680d |
Isogeny class |
Conductor |
29680 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
511488 |
Modular degree for the optimal curve |
Δ |
-4865520555038080000 = -1 · 210 · 54 · 73 · 536 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -4 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-325547,127961514] |
[a1,a2,a3,a4,a6] |
Generators |
[243:7950:1] |
Generators of the group modulo torsion |
j |
-3726188731883770884/4751484917029375 |
j-invariant |
L |
4.9634222255579 |
L(r)(E,1)/r! |
Ω |
0.21987299469337 |
Real period |
R |
0.94058508497898 |
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 |
14840d1 118720o1 |
Quadratic twists by: -4 8 |