Atkin-Lehner |
2+ 7+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
89936a |
Isogeny class |
Conductor |
89936 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36352 |
Modular degree for the optimal curve |
Δ |
5755904 = 210 · 7 · 11 · 73 |
Discriminant |
Eigenvalues |
2+ 0 -3 7+ 11+ 2 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1259,17194] |
[a1,a2,a3,a4,a6] |
Generators |
[21:4:1] |
Generators of the group modulo torsion |
j |
215526633732/5621 |
j-invariant |
L |
4.2439486116713 |
L(r)(E,1)/r! |
Ω |
2.2274581866125 |
Real period |
R |
0.47632191682905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982467 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44968b1 |
Quadratic twists by: -4 |