Atkin-Lehner |
2- 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47880r |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
42337786579200 = 28 · 39 · 52 · 72 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1543023,-737745678] |
[a1,a2,a3,a4,a6] |
j |
80632412357305968/8402275 |
j-invariant |
L |
1.0836684872456 |
L(r)(E,1)/r! |
Ω |
0.13545856093135 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760i1 47880f1 |
Quadratic twists by: -4 -3 |