Atkin-Lehner |
2+ 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
47880n |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
9310392882000 = 24 · 36 · 53 · 72 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19458,-1034343] |
[a1,a2,a3,a4,a6] |
j |
69850705729536/798216125 |
j-invariant |
L |
3.2360479084297 |
L(r)(E,1)/r! |
Ω |
0.40450598856473 |
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 |
95760s1 5320h1 |
Quadratic twists by: -4 -3 |