Atkin-Lehner |
2+ 3- 5+ 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
42330f |
Isogeny class |
Conductor |
42330 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-1248362496000000 = -1 · 221 · 33 · 56 · 17 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 5 -5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1489,-1700188] |
[a1,a2,a3,a4,a6] |
j |
-364744258531849/1248362496000000 |
j-invariant |
L |
1.3195735053999 |
L(r)(E,1)/r! |
Ω |
0.2199289175627 |
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 |
126990cm1 |
Quadratic twists by: -3 |