Atkin-Lehner |
3+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
120159d |
Isogeny class |
Conductor |
120159 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-10573564354119 = -1 · 33 · 137 · 792 |
Discriminant |
Eigenvalues |
-1 3+ 2 2 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13214,608508] |
[a1,a2,a3,a4,a6] |
Generators |
[36:404:1] |
Generators of the group modulo torsion |
j |
-1957816251/81133 |
j-invariant |
L |
5.3544092593402 |
L(r)(E,1)/r! |
Ω |
0.71556216848458 |
Real period |
R |
1.8707002271748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002759 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120159b1 9243a1 |
Quadratic twists by: -3 13 |