Atkin-Lehner |
3+ 7+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
65331a |
Isogeny class |
Conductor |
65331 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-56641977 = -1 · 33 · 7 · 173 · 61 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ 5 -2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37655,-2802984] |
[a1,a2,a3,a4,a6] |
j |
-218684041285921875/2097851 |
j-invariant |
L |
0.34272421952141 |
L(r)(E,1)/r! |
Ω |
0.17136210834448 |
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 |
65331b1 |
Quadratic twists by: -3 |