Atkin-Lehner |
2+ 7+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
89936c |
Isogeny class |
Conductor |
89936 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
111104 |
Modular degree for the optimal curve |
Δ |
677176349696 = 210 · 77 · 11 · 73 |
Discriminant |
Eigenvalues |
2+ 0 3 7+ 11+ 2 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5171,137538] |
[a1,a2,a3,a4,a6] |
j |
14933010442788/661305029 |
j-invariant |
L |
3.5907125257635 |
L(r)(E,1)/r! |
Ω |
0.89767812884045 |
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 |
44968h1 |
Quadratic twists by: -4 |