Atkin-Lehner |
3+ 5+ 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
126825a |
Isogeny class |
Conductor |
126825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48240 |
Modular degree for the optimal curve |
Δ |
-195183675 = -1 · 35 · 52 · 192 · 89 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 0 0 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,112,458] |
[a1,a2,a3,a4,a6] |
Generators |
[3:28:1] |
Generators of the group modulo torsion |
j |
6159626240/7807347 |
j-invariant |
L |
2.8821649115166 |
L(r)(E,1)/r! |
Ω |
1.2014572180435 |
Real period |
R |
1.1994454762748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000212606 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126825z1 |
Quadratic twists by: 5 |