Atkin-Lehner |
2- 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384cu |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
512000 |
Modular degree for the optimal curve |
Δ |
-8881181957210112 = -1 · 214 · 311 · 115 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ -1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,50640,-1148704] |
[a1,a2,a3,a4,a6] |
j |
1202423168000/743572467 |
j-invariant |
L |
0.4754291450701 |
L(r)(E,1)/r! |
Ω |
0.2377148749398 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120384bh1 30096h1 40128bo1 |
Quadratic twists by: -4 8 -3 |