Atkin-Lehner |
2- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
31460f |
Isogeny class |
Conductor |
31460 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
1114666181200 = 24 · 52 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 11- 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-72761,7529960] |
[a1,a2,a3,a4,a6] |
j |
12421218304/325 |
j-invariant |
L |
1.6154379155831 |
L(r)(E,1)/r! |
Ω |
0.80771895779052 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
125840bw1 31460a1 |
Quadratic twists by: -4 -11 |