Atkin-Lehner |
2+ 3+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
71232j |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
47104 |
Modular degree for the optimal curve |
Δ |
-155784384 = -1 · 26 · 38 · 7 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 5 -4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1639,26101] |
[a1,a2,a3,a4,a6] |
j |
-7612819752448/2434131 |
j-invariant |
L |
3.5718216212724 |
L(r)(E,1)/r! |
Ω |
1.7859108238591 |
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 |
71232bv1 35616x1 |
Quadratic twists by: -4 8 |