Atkin-Lehner |
2+ 3- 7- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
33306h |
Isogeny class |
Conductor |
33306 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
1472813087735808 = 214 · 34 · 72 · 135 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-474540,125768938] |
[a1,a2,a3,a4,a6] |
j |
11817915334956198313273/1472813087735808 |
j-invariant |
L |
1.8409987885116 |
L(r)(E,1)/r! |
Ω |
0.46024969712763 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99918bc1 |
Quadratic twists by: -3 |