Atkin-Lehner |
2+ 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47880f |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
58076524800 = 28 · 33 · 52 · 72 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-171447,27323914] |
[a1,a2,a3,a4,a6] |
j |
80632412357305968/8402275 |
j-invariant |
L |
3.4330914049513 |
L(r)(E,1)/r! |
Ω |
0.85827285130013 |
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 |
95760r1 47880r1 |
Quadratic twists by: -4 -3 |