Atkin-Lehner |
2+ 3+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
71232i |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
219648 |
Modular degree for the optimal curve |
Δ |
-60363830810304 = -1 · 26 · 32 · 711 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ -3 6 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7161,289737] |
[a1,a2,a3,a4,a6] |
j |
634459801098752/943184856411 |
j-invariant |
L |
3.3883902403736 |
L(r)(E,1)/r! |
Ω |
0.42354877890579 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71232bt1 35616w1 |
Quadratic twists by: -4 8 |