Atkin-Lehner |
2- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
1162b |
Isogeny class |
Conductor |
1162 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
208 |
Modular degree for the optimal curve |
Δ |
-4759552 = -1 · 213 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 0 0 7+ -3 -6 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25,121] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-20:1] |
Generators of the group modulo torsion |
j |
-1664006625/4759552 |
j-invariant |
L |
3.3829681278071 |
L(r)(E,1)/r! |
Ω |
2.1478955563387 |
Real period |
R |
0.12115501461682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9296b1 37184a1 10458c1 29050c1 |
Quadratic twists by: -4 8 -3 5 |