Atkin-Lehner |
2- 3- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
120666by |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-122937898482672 = -1 · 24 · 3 · 74 · 137 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8707,-619087] |
[a1,a2,a3,a4,a6] |
Generators |
[255124:15976279:64] |
Generators of the group modulo torsion |
j |
-15124197817/25469808 |
j-invariant |
L |
14.715419489675 |
L(r)(E,1)/r! |
Ω |
0.23365596962298 |
Real period |
R |
7.872375113629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999771589 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282m1 |
Quadratic twists by: 13 |