Atkin-Lehner |
3- 7- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
61677n |
Isogeny class |
Conductor |
61677 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-22437338105259 = -1 · 310 · 72 · 11 · 893 |
Discriminant |
Eigenvalues |
-2 3- -1 7- 11- 3 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-993,-228218] |
[a1,a2,a3,a4,a6] |
j |
-148540174336/30778241571 |
j-invariant |
L |
1.2090566503221 |
L(r)(E,1)/r! |
Ω |
0.30226416409883 |
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 |
20559d1 |
Quadratic twists by: -3 |